{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0e9711bc",
   "metadata": {},
   "source": [
    "## Monte Carlo Dropout\n",
    "\n",
    "In this notebook, we consider a simple function approximation example with noisy measurements.\n",
    "\n",
    "In section 1, we show how we do Monte Carlo Dropout for uncertainty in the variational inference (VI) fasion using NeuralUQ.\n",
    "\n",
    "In section 2. we do this in the conventional machine learning way.\n",
    "\n",
    "There are significant differences in the prediction stage, but neither is wrong! \n",
    "\n",
    "However, we conclude that for function-wise learning & prediction, our way makes more sense. For details of Dropout method for uncertainty, please see [Dropout as a Bayesian Approximation:\n",
    "Representing Model Uncertainty in Deep Learning](https://arxiv.org/pdf/1506.02142.pdf)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "61f3cffb",
   "metadata": {},
   "outputs": [],
   "source": [
    "import neuraluq as neuq\n",
    "import neuraluq.variables as neuq_vars\n",
    "from neuraluq.config import tf\n",
    "\n",
    "import numpy as np\n",
    "import scipy.io as sio\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "43c12328",
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_data():\n",
    "    data = sio.loadmat(\"../dataset/func_train.mat\")\n",
    "    x_u_train = data[\"x_train\"]\n",
    "    u_train = data[\"y_train\"]\n",
    "    x_test = data[\"x_test\"]\n",
    "    u_test = data[\"y_test\"]\n",
    "    return x_u_train, u_train, x_test, u_test"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0a6fdc9",
   "metadata": {},
   "source": [
    "## Section 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "44cc6c3c",
   "metadata": {},
   "outputs": [],
   "source": [
    "def MCD(x_train, u_train, layers):\n",
    "    surrogate = neuq.surrogates.FNN(layers=layers)\n",
    "    prior = neuq.variables.fnn.Variational(layers=layers, mean=0, sigma=5.0)\n",
    "    posterior = neuq.variables.fnn.MCD(layers=layers, dropout_rate=0.1, trainable=True)\n",
    "    process_u = neuq.process.Process(surrogate=surrogate, prior=prior, posterior=posterior,)\n",
    "    likelihood = neuq.likelihoods.Normal(\n",
    "        inputs=x_train, targets=u_train, processes=[process_u], sigma=0.1,\n",
    "    )\n",
    "    model = neuq.models.Model(processes=[process_u], likelihoods=[likelihood])\n",
    "    method = neuq.inferences.VI(\n",
    "        batch_size=64,\n",
    "        num_samples=1000,\n",
    "        num_iterations=10000,\n",
    "        optimizer=tf.train.AdamOptimizer(1e-3),\n",
    "    )\n",
    "    model.compile(method)\n",
    "    samples = model.run()\n",
    "    return process_u, samples, model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "55febd3b",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Supporting backend tensorflow.compat.v1\n",
      "\n",
      "Compiling a VI method\n",
      "\n",
      "Iteration:  0 , loss:  10893.378\n",
      "Iteration:  100 , loss:  7056.875\n",
      "Iteration:  200 , loss:  7054.164\n",
      "Iteration:  300 , loss:  7033.8193\n",
      "Iteration:  400 , loss:  7026.1616\n",
      "Iteration:  500 , loss:  7009.737\n",
      "Iteration:  600 , loss:  6957.9478\n",
      "Iteration:  700 , loss:  6933.6064\n",
      "Iteration:  800 , loss:  6910.0864\n",
      "Iteration:  900 , loss:  6901.4497\n",
      "Iteration:  1000 , loss:  6889.947\n",
      "Iteration:  1100 , loss:  6891.8247\n",
      "Iteration:  1200 , loss:  6889.389\n",
      "Iteration:  1300 , loss:  6877.1987\n",
      "Iteration:  1400 , loss:  6883.3906\n",
      "Iteration:  1500 , loss:  6873.484\n",
      "Iteration:  1600 , loss:  6867.613\n",
      "Iteration:  1700 , loss:  6876.659\n",
      "Iteration:  1800 , loss:  6868.391\n",
      "Iteration:  1900 , loss:  6874.585\n",
      "Iteration:  2000 , loss:  6855.713\n",
      "Iteration:  2100 , loss:  6864.229\n",
      "Iteration:  2200 , loss:  6856.2676\n",
      "Iteration:  2300 , loss:  6869.5273\n",
      "Iteration:  2400 , loss:  6858.769\n",
      "Iteration:  2500 , loss:  6856.041\n",
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      "Iteration:  2800 , loss:  6854.6743\n",
      "Iteration:  2900 , loss:  6861.492\n",
      "Iteration:  3000 , loss:  6861.9478\n",
      "Iteration:  3100 , loss:  6848.2876\n",
      "Iteration:  3200 , loss:  6859.448\n",
      "Iteration:  3300 , loss:  6840.625\n",
      "Iteration:  3400 , loss:  6846.003\n",
      "Iteration:  3500 , loss:  6840.9854\n",
      "Iteration:  3600 , loss:  6833.8145\n",
      "Iteration:  3700 , loss:  6858.616\n",
      "Iteration:  3800 , loss:  6848.5083\n",
      "Iteration:  3900 , loss:  6853.8364\n",
      "Iteration:  4000 , loss:  6850.9634\n",
      "Iteration:  4100 , loss:  6857.961\n",
      "Iteration:  4200 , loss:  6845.806\n",
      "Iteration:  4300 , loss:  6842.071\n",
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      "Iteration:  4600 , loss:  6852.6494\n",
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      "Iteration:  4800 , loss:  6850.9\n",
      "Iteration:  4900 , loss:  6848.0024\n",
      "Iteration:  5000 , loss:  6844.4365\n",
      "Iteration:  5100 , loss:  6835.0312\n",
      "Iteration:  5200 , loss:  6836.039\n",
      "Iteration:  5300 , loss:  6847.7847\n",
      "Iteration:  5400 , loss:  6828.881\n",
      "Iteration:  5500 , loss:  6831.539\n",
      "Iteration:  5600 , loss:  6829.169\n",
      "Iteration:  5700 , loss:  6829.7905\n",
      "Iteration:  5800 , loss:  6821.5625\n",
      "Iteration:  5900 , loss:  6830.8057\n",
      "Iteration:  6000 , loss:  6831.962\n",
      "Iteration:  6100 , loss:  6831.8247\n",
      "Iteration:  6200 , loss:  6832.9497\n",
      "Iteration:  6300 , loss:  6825.8306\n",
      "Iteration:  6400 , loss:  6821.5415\n",
      "Iteration:  6500 , loss:  6827.5435\n",
      "Iteration:  6600 , loss:  6826.142\n",
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      "Iteration:  6800 , loss:  6823.312\n",
      "Iteration:  6900 , loss:  6827.905\n",
      "Iteration:  7000 , loss:  6823.5356\n",
      "Iteration:  7100 , loss:  6822.804\n",
      "Iteration:  7200 , loss:  6819.368\n",
      "Iteration:  7300 , loss:  6813.534\n",
      "Iteration:  7400 , loss:  6821.3125\n",
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      "Iteration:  7900 , loss:  6813.4287\n",
      "Iteration:  8000 , loss:  6808.353\n",
      "Iteration:  8100 , loss:  6812.262\n",
      "Iteration:  8200 , loss:  6819.0684\n",
      "Iteration:  8300 , loss:  6808.139\n",
      "Iteration:  8400 , loss:  6810.385\n",
      "Iteration:  8500 , loss:  6813.671\n",
      "Iteration:  8600 , loss:  6811.0757\n",
      "Iteration:  8700 , loss:  6816.2534\n",
      "Iteration:  8800 , loss:  6813.9126\n",
      "Iteration:  8900 , loss:  6808.6436\n",
      "Iteration:  9000 , loss:  6816.034\n",
      "Iteration:  9100 , loss:  6808.131\n",
      "Iteration:  9200 , loss:  6809.1016\n",
      "Iteration:  9300 , loss:  6807.6646\n",
      "Iteration:  9400 , loss:  6810.8276\n",
      "Iteration:  9500 , loss:  6808.1875\n",
      "Iteration:  9600 , loss:  6811.451\n",
      "Iteration:  9700 , loss:  6807.2627\n",
      "Iteration:  9800 , loss:  6807.3384\n",
      "Iteration:  9900 , loss:  6806.5664\n"
     ]
    }
   ],
   "source": [
    "x_train, u_train, x_test, u_test = load_data()\n",
    "layers = [1, 50, 50, 1]\n",
    "process_u, samples, model = MCD(x_train, u_train, layers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a483c530",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "(u_pred,) = model.predict(x_test, samples, processes=[process_u])\n",
    "neuq.utils.plot1d(x_train, u_train, x_test, u_test, u_pred[:, :, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "28f95dfe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the first 100 realizations of the posterior samples\n",
    "for i in range(100):\n",
    "    plt.plot(x_test[:, 0], u_pred[i, :])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46afcc98",
   "metadata": {},
   "source": [
    "#### Observations\n",
    "\n",
    "Function-wisely, the predicted uncertainty is smooth. So is each realization of the predicted function. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4960dd95",
   "metadata": {},
   "source": [
    "## Section 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8db5a89a",
   "metadata": {},
   "outputs": [],
   "source": [
    "nn = tf.keras.Sequential(\n",
    "    [\n",
    "        tf.keras.layers.Dense(50, activation=tf.tanh, kernel_regularizer=tf.keras.regularizers.l2(1.0)),\n",
    "        tf.keras.layers.Dropout(0.1),\n",
    "        tf.keras.layers.Dense(50, activation=tf.tanh, kernel_regularizer=tf.keras.regularizers.l2(1.0)),\n",
    "        tf.keras.layers.Dropout(0.1),\n",
    "        tf.keras.layers.Dense(1),\n",
    "    ]\n",
    ")\n",
    "nn.build(input_shape=[None, 1])\n",
    "\n",
    "loss_op = tf.reduce_mean((nn.call(tf.constant(x_train, tf.float32), training=True) - tf.constant(u_train, tf.float32))**2) + \\\n",
    "        1e-5 * tf.reduce_sum(nn.losses)\n",
    "\n",
    "opt = tf.train.AdamOptimizer(1e-3)\n",
    "train_op = opt.minimize(loss_op)\n",
    "sess = tf.Session()\n",
    "sess.run(tf.variables_initializer(nn.trainable_variables + opt.variables()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f989e352",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0.33965716\n",
      "100 0.17693448\n",
      "200 0.19177748\n",
      "300 0.17924151\n",
      "400 0.18260431\n",
      "500 0.13825107\n",
      "600 0.14244555\n",
      "700 0.120440334\n",
      "800 0.11814912\n",
      "900 0.09117626\n",
      "1000 0.12059354\n",
      "1100 0.10944344\n",
      "1200 0.10000209\n",
      "1300 0.07912296\n",
      "1400 0.09443055\n",
      "1500 0.09033856\n",
      "1600 0.0944161\n",
      "1700 0.12045557\n",
      "1800 0.08843523\n",
      "1900 0.04577766\n",
      "2000 0.083540566\n",
      "2100 0.08680197\n",
      "2200 0.07651549\n",
      "2300 0.09530859\n",
      "2400 0.05637878\n",
      "2500 0.05758579\n",
      "2600 0.08496323\n",
      "2700 0.10059003\n",
      "2800 0.09124186\n",
      "2900 0.04834479\n",
      "3000 0.08416366\n",
      "3100 0.058442786\n",
      "3200 0.05750867\n",
      "3300 0.07960896\n",
      "3400 0.09009304\n",
      "3500 0.035663575\n",
      "3600 0.08769653\n",
      "3700 0.055271346\n",
      "3800 0.07103979\n",
      "3900 0.07205215\n",
      "4000 0.06645487\n",
      "4100 0.08055919\n",
      "4200 0.059494928\n",
      "4300 0.046574257\n",
      "4400 0.085795164\n",
      "4500 0.09653087\n",
      "4600 0.062688366\n",
      "4700 0.0511973\n",
      "4800 0.061561815\n",
      "4900 0.05319644\n",
      "5000 0.06819959\n",
      "5100 0.08130857\n",
      "5200 0.039244577\n",
      "5300 0.05471116\n",
      "5400 0.05254053\n",
      "5500 0.073464856\n",
      "5600 0.048442084\n",
      "5700 0.063558824\n",
      "5800 0.040555514\n",
      "5900 0.040400453\n",
      "6000 0.034971982\n",
      "6100 0.046974674\n",
      "6200 0.06487277\n",
      "6300 0.05120671\n",
      "6400 0.053569227\n",
      "6500 0.072734684\n",
      "6600 0.04251465\n",
      "6700 0.03239258\n",
      "6800 0.05425794\n",
      "6900 0.032481376\n",
      "7000 0.042711478\n",
      "7100 0.04925004\n",
      "7200 0.03943925\n",
      "7300 0.044689253\n",
      "7400 0.06595814\n",
      "7500 0.040324397\n",
      "7600 0.04710576\n",
      "7700 0.047243822\n",
      "7800 0.024068171\n",
      "7900 0.058073945\n",
      "8000 0.041231923\n",
      "8100 0.03674611\n",
      "8200 0.039803606\n",
      "8300 0.05657859\n",
      "8400 0.041593704\n",
      "8500 0.048880965\n",
      "8600 0.047704615\n",
      "8700 0.051150348\n",
      "8800 0.04191398\n",
      "8900 0.03126195\n",
      "9000 0.043746606\n",
      "9100 0.047538757\n",
      "9200 0.037806936\n",
      "9300 0.040572546\n",
      "9400 0.039139856\n",
      "9500 0.045768\n",
      "9600 0.032656685\n",
      "9700 0.04490441\n",
      "9800 0.05325286\n",
      "9900 0.053758048\n",
      "10000 0.022645198\n",
      "10100 0.047916893\n",
      "10200 0.045819756\n",
      "10300 0.047711916\n",
      "10400 0.041977417\n",
      "10500 0.049023226\n",
      "10600 0.028414555\n",
      "10700 0.030979592\n",
      "10800 0.022344204\n",
      "10900 0.045164365\n",
      "11000 0.035317533\n",
      "11100 0.030074587\n",
      "11200 0.03580277\n",
      "11300 0.038386893\n",
      "11400 0.041729003\n",
      "11500 0.036656026\n",
      "11600 0.045903698\n",
      "11700 0.031453148\n",
      "11800 0.06857953\n",
      "11900 0.040943332\n",
      "12000 0.02387458\n",
      "12100 0.04772147\n",
      "12200 0.035927646\n",
      "12300 0.03288158\n",
      "12400 0.04678469\n",
      "12500 0.030305395\n",
      "12600 0.046878684\n",
      "12700 0.027750876\n",
      "12800 0.042553633\n",
      "12900 0.03705117\n",
      "13000 0.05007696\n",
      "13100 0.031828806\n",
      "13200 0.032120287\n",
      "13300 0.03872317\n",
      "13400 0.044949964\n",
      "13500 0.034470167\n",
      "13600 0.038146332\n",
      "13700 0.0328962\n",
      "13800 0.045938075\n",
      "13900 0.027112413\n",
      "14000 0.038250186\n",
      "14100 0.039156873\n",
      "14200 0.032195877\n",
      "14300 0.04688423\n",
      "14400 0.033259913\n",
      "14500 0.04074412\n",
      "14600 0.03408546\n",
      "14700 0.033463832\n",
      "14800 0.04014376\n",
      "14900 0.042116437\n",
      "15000 0.04155723\n",
      "15100 0.0319202\n",
      "15200 0.04566254\n",
      "15300 0.052109003\n",
      "15400 0.029865747\n",
      "15500 0.033800174\n",
      "15600 0.029889977\n",
      "15700 0.03171422\n",
      "15800 0.026967665\n",
      "15900 0.030517166\n",
      "16000 0.050017986\n",
      "16100 0.03517928\n",
      "16200 0.026440632\n",
      "16300 0.032053385\n",
      "16400 0.038242534\n",
      "16500 0.03802886\n",
      "16600 0.04597661\n",
      "16700 0.035444904\n",
      "16800 0.031512357\n",
      "16900 0.031285185\n",
      "17000 0.052360967\n",
      "17100 0.026989615\n",
      "17200 0.04429153\n",
      "17300 0.027269993\n",
      "17400 0.055440277\n",
      "17500 0.06192226\n",
      "17600 0.05847576\n",
      "17700 0.027840389\n",
      "17800 0.033872224\n",
      "17900 0.023151213\n",
      "18000 0.036601488\n",
      "18100 0.03429339\n",
      "18200 0.029721333\n",
      "18300 0.03239256\n",
      "18400 0.03426782\n",
      "18500 0.03091173\n",
      "18600 0.02715373\n",
      "18700 0.03609441\n",
      "18800 0.03174911\n",
      "18900 0.043040976\n",
      "19000 0.050928228\n",
      "19100 0.053880963\n",
      "19200 0.03170315\n",
      "19300 0.036575932\n",
      "19400 0.026694313\n",
      "19500 0.03727773\n",
      "19600 0.0352409\n",
      "19700 0.030399486\n",
      "19800 0.025477763\n",
      "19900 0.04079483\n"
     ]
    }
   ],
   "source": [
    "for i in range(20000):\n",
    "    sess.run(train_op)\n",
    "    if i % 100 == 0:\n",
    "        print(i, sess.run(loss_op))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "fc178085",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "out = []\n",
    "out_op = nn.call(tf.constant(x_test, tf.float32), training=True)\n",
    "for i in range(1000):\n",
    "    out += [sess.run(out_op)]\n",
    "    \n",
    "u_pred = np.stack(out, axis=0)\n",
    "neuq.utils.plot1d(x_train, u_train, x_test, u_test, u_pred[:, :, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "cbd4974e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LKjS6ZmSNF3od+ro9B8CYqwIh+uA6Nw48xt6rv8gu7xFy2aggmxIGnJwao22eJNtLoVDDFuq5LVekLfqC36fPFWCuMUc36HKseuyChX+oEaXvCxnSKZs4UkMgWXMNhBG9ilYmS6Gb5hySXCvNvJLhgf0/zo+1Pk8ldJlc+HHM6lswWg+w9eRHqKU0pKJw9+Nn+fzjS9ihxIzF8YojrM5+gY5+HIB25ziKYrLh7ASunB/fPnyY7rFj+JVvVGnlO0to9wR/w2ZeeOTNOgohHb/LXW/7PqrZ6PszqCjxENvRCORWTjk7ONm9E0WNxHlOj2Lmp8Q5KqaKU53ALywwMrANT42OMdnVCUKfUjfKdcgYNf7yBxy8N36cTZuPkMuUeE2whpuNM+BU2bV+gtNDUzSKJTyeAeBQ9ctsPfrkN10r98XQF/w+fa4A/vEVbj1c4On1pym1ohjtM50oFPOO+lMklpuksFAJqIQJvFgkJs18kRaSg3WfM7aErM6wW+W2xjN0jCRG62qyqQfZPPtxguActWQ0MujUNTyr93Miqscyk3wYxY8ShbpykUCZ5P/5XC36/QoJftiKxDH4Buu8fqdp1Or8rfkg65UNFsOA6cwCW3OzeIpNNx6nagoI4f0fExixAMszKXuSQ7ZkyDiBqkShsquZqO0mWcBTFGqrY0jVQ9l8sRzGdCdGy6/S9qpIJOVrH2JZHefL6z/LEw+9l0a1wCa9zMnUDFvPzPGaJ3w8TeXU4AQb2WhUtN6dI5ueQlHVy94WfcHv0+cyY3kW2UWPrcspnlx9gpTa5N0paJAmEVhsbc7TrcJVcpE3WHHcwKQTi8rhVlMp7k+CAI57IQNGJDJXt0+SCIYgTJIXIUMNWCwa1OKRGOl2l6wT/WwFAabRYmR4CdbuRHMKeHqNpj3I97uPAlcuNDNsRTVqXkoW/lqpRFd4LHdKrAQmo8l19g0eQyiRK8d3VCpBkZXd1zA3cjtPDv8bvtoJcM2AMPM4jjBAQidbB6DQK1zXasdQ3TTLA8cACN0Cm6w0La9GICtUxu5hMReJ9onEJC5x/FoWPdPldHKarQtLFO1xxkoVjo7N0DIk7bDNeGIbA8lpZN/C79Pnpc9SewnTU1FDweHVZ7jD83nr6S4Yo4w4Zcq1OCKEjraZfa7GpK+xEYus8nJMZdmORgJmKNizHomLLgOu60T+4YI9hpCCRjxDOe1juiG6C3f4cwCcUwqMjx1FSsGBxs3EtEmk2sWteLw6c5IwNK5YeYWg/RK08NtRdNKq18IXKsOJDfbmThBTI0EVUrBWn2a9BU8bHdrBIrtMSSV3lr8LbiREZSgMCJM+MWnRakUdhZsL8E/vYiW5AFKANc1gkKPlVRlUm1R3foIFZx8AlYxG24wz6tzIvDZNKFSG6woIhe976MvUMnmWcgOshBtsTV+Hn1SQ/UnbPn1eWvjVLkHDueSzxeYiMTd6tfy2zdWPQP4jGolumil7lbPNYWRMhTBytxRChbKeQvc8AgF6q0soAkJCRo6YzH5lgOZCjBusqPyC2a2wkUkgUKimFPLtkCm1zJBfRYQhi8VJhsfOUd6Y4rjdIZYZ4qTYwW8Xfprvu+7PmHO30m0tUvpf/5ugfXmLqYU9wb/cFn6rfYJm6+uur/RN2ajXAagoUUc6YNbJOAGGft6ClnBmHMIOuvSx/APMV/8GuXCE3WtPA5DBpqsbxDyHej0qr7A6aHDw4RaVpkbg58lo16EKFdtbY+JtWaSExXAHSm/SeCk3SK65lVmiUE0zHMUyV7l64VESfpuj28dZVqocbX8Z2V0n/AaVU18sfcHv0+fboPrxk9T+8ewlny22Fsl0o3j7mKtSjNaxZrhis6m1xJw9RDASJ9ZLii0GgmSjxef+fz/FF3/5x9naOMGOd/4qYwOfoRJcTbek01iPcb0fuWEG0p9mOZ+Ozp9Jkm4HzChVtDCO6Thkix00zWd5ZQ/SWuZ/+bfyW/wXbBFVYFz2xvGePkP5j/6IzsMPXdb2OO/SCSrlF7X/ibUmdeu52cKnTv0mJ0/++rd8nNWGzf/10QO0HZ+VdpShXFOiaytoLcqtCUQMVM/GMet0rKjzvdrc4Or5dVp+g6y1iNQiV1t+bI02acyux1UPRRFOnYHoXGIhR0p5D+d2v5YHbvw7ku/7HMHoEs7RN7ASN1DWbOJdh+X8ELn2DLNyK8VuGUWdpph8gmAm4H3io8wmZrh78xDt+gq7HvtHFNl36fTp85IitDyC+qV1cRZaC5he9Grl3DjptWhoPlFaQyvZhCgEBZN4L3KxGAj2zJ7G9Dy+cuPtqLtXUU2L1NbDWIlh2puH6boaW/0l4kqNYmyJUiZBKRPQTGdJNlsMKB3m4+vkOw0UE+p2lna7SC0/yOfdq3kjX+CPvvRv0Xyfsj9EsBBFDvnly+t6Cb5NC/+H//wx/vj+s8/53HFWcZz1r7PH1+f+kyXuOrzGsZUmjSC6R4lLSuugS6jXxvANA+FZVGI1HNVAqHGqms94vc16+kb+cvonUAa3A5AYPkMrKGB4IUPVOqnAoZ6MkUoHDK0ZjI1Ek+5PpQbxnklz6OAbOFW7CSkEiYbLaLXKcn4QpM45uYMZfx4hFK4zTiJzAa9XvsQ14QHu27qT+aEJFsbzKMblL5HcF/w+fb4NpBdeiPPeaLeZr9ZYqi8gw8g6m2kXMBo9wd9YQ+tE1qsZuiTC6PNCqLBzaZauYfJ77/8pUlujZCt1fBVF6bI2eD2+pZIJLIa10yTNLoYa8PheFakoxDtldBGyHF8h3a5j60kW22NIKZkf3cJUeI4f5y8pdiqMl9ZYYxR1tTdhWb68Cw1dmLR9ET58y/WpWx4rX1MiWkqJ42zgutVveWnH8+Wmqx2XAIlEogvJeHwd6+D7CStTOLEEYdhhXW2CIjAyWRwjyo1o2A5jWpu0bxCLNQlzJZphjpjvEY/NUHACahQY2NrihutLbMSi5Kkzjbfh3Z1CVX3OZqNa91e1S4w31rEMk0cyXdbUQTYbZwiFi5Wx0YouAvgZ8UcYocs/vf4Hmc1emfVA+oLfp8+3gfRCgo6HlJIf+stP8aY/+AqrG2sXvh+rXAytm9hYoe7GGaLG3upJ4jISfB3BlmqNxbFJtruLxAvzNMpTCDVgbOQ+SvHrCZoqUsKE+QwA43qdleFctH8QWdMhPul2hbqSZ6kzSlfRWC2OsKt5GCnBy0vG7WUW9EmCks6H976dtfnLLPjnJ21fhIVf7k2GVjuXunR8v0UYdpHSxfefP2Gs3W7zxBNPIKVktif469UWCjp1ow7AhHC4093Lzu4IdiKBj0WiFU2Yi5GQoeHIhRNXD+AN3I/uSQYGotr0LTVOzHVZHRun0AmohwNkr18jtdliQc6gSMkzeZ0g32bz5gMs5LJkXcmN3WWm69Ez8RebomvdrJ/Ay59hSRsgMWbhd2JkafCO1S9TKo7wxI03EzgXi+JdLvqC36fPt4H0Qggk0vYpNQSOE6c8t+nC9+lmZOmvjheZWV9kLhhmXJTZ3ponIQW+jPw6Qx4sjAzyOv9eZKgye+I1EEJu4km6jGLro/i+oJA4DcCo2cbXhwFIBnU6UqdojZB3S/hCZ647zbnCGFJR2LR4Gj/QaN6ssDAzwkJqnB/6oT/hU1tfy18FucvWFqHjIL1otONXXriFX+5Ek99fK/iOc7EDdd0yx44d47777nvO/k8//TR33XUX1Wr1goU/fy5admM9FnUUI04KRQic2AKhquKGCtPrRZSuhWXGmMyohDoM+Eu0s0cwnSaFwjJKczOuaqB7Ic2MwmCzQ10OIlTJEyd34ysar1lzcDSFr171FvbvfzcLBZPtrYABX5Jyu0y0XQ6PRpb7Zs6iTj1GXajE8i7dMzsgVLjBP8KepeM0swMEveUPLyd9we/T59tgzpCsxgRBx8Py0igiQK/tvPC9ZvvUB8c5tuWHGdkosUaeQdFg3FmlKAS3plRuSKjktr4OY2g718Yepr26jzWzBu0AObQChGwMXU8Dg6xep+L+IMWEy0hjiFjXphC61IQAAoZkZLEv+ZPMF0YwfI/8uRqCkFYmxTKTIARTS9EE8KyewQ99fufJ32GxFYVqep5HGL7wCJHz7hyRSBBUKt+y++U8lXYk9JWvFfxnLdjuumWOHDnCk08++Zz9/ZNN3t+9nfLCBvPVyDpeLp2J/o9PADDum0gpSWvRpHcqCCk2BKptYTkFEtYIdlqj2HHxNRtFrJDOlAnq10TX4vuEmovidagrGZ46XeQhbw8APzYfIKTkxOQ+QgQbGYOZpovZG8ldW4pcVWMdhyQdhscPocajNouVt2FYIyQTTW6bPcFZNYOuX/6FzPuC36fPi0SGkv+6TeG3dqt4TZcf3fIpfuvm3+E3+QgApuIj/YD1qesQym60QCdwNFpKkUG/yZSiMKYb5FQojuzk1UNJEnqTysKt3D18L58LYwSJgHhuPytjt1N1UiSDKrb/ehZHp6jnr2NyY400UEue4fjIYwwYkThuhIOsFQeYqG2gZU3QICk77OEQAMPtaKK5ZuQ5WT3J3xz7G+5duJcwDPngBz/I/v0vfMmK8+4cY3oa6bqEnRcW8lluRxZ+reNe0lm4z5qsdd0ytmVh2/ZzOqXCkkqSGKX7SxcWg3edOQA2tL04UiUpPIQQJEUUYrMHDcXZIAh9JBp1Z4x60iDfjs6fKK6iKCFee1d0HE+iOzkspYOnCJ4OY5SL2zE8l4FmlYF2neXsEI6dIVBVzPY6gSZQpGDneiTum6sdVKvIYLJDKlXFs1Sy7ib05jjxVBlVCnQ/jfd1Vkb7dukLfp8+LxLphWxZ3E+2dIS5tSo3Zw8xkl4h7CX0FEwLX4asJ6KKiY6ZZY9YY4dWJpAJsooglJJ7qivct3iW8tiD4KZYbG5j1BplphQdZ27mS7hGhtnm7XSFwf/cXeADN/0OQir84P1fAMDSzxKoPoV05MLIF1M4pslUbQ1jTOWMvx1deLyDTwOwXiwCUBMmxytRvZ0Na4N2u02n02F19YWvQBr0yioYU1PR7y/QrVPpCb4fSpr2RbFznEst/NZ6ozeRezH/QUpJzIlcIO31aF+FEJMyISGWP0RbmjiiiytdHuVBAPaZP0JGM+nEohHBEhnKCYNCC1RfkBiuI0NB3YnuqWlniLemiXlRh7kcH8NPjjJeb/EV4xCTlTLr2QLr6ah9A3seyxBkZZJCbZVEN2D7WoN4axNIQTZbx1mJkdBTiOYgZrKGojpsrZ5FXAF17gt+nz4vEukFxB2LpGPz4Po6iZgFQnCqEIlDXrFxVYW6Gb38jpljkxq5XFbVPClF0JIhmeYSdiFJd+gg6dVbqZkVbtu4jZ0r2wlDGB5ZIdFZ41D8+3jT9R/io9PDvH/hAB/5zX9DN9lCCQJ+6L4KSEmxUMIIXaojkctip3OcVnOA+9zXR7+7xym4FSr5KIKkGaocWeyVYLZKNGpRVmrtRUzmhu3IgjU2bQJeuB+/3L7oyql0Loq546zjyAShFDhOia4bia1lXZzUbDdaxGU04VqJljNhu1hEUwJszeNnj1mIMEZbdJkXS7TDBrGuiybibMtcx9rAPAhYR2c9qRJoBQrd60mMtHBawxxKRdcjXYOGZjPcivIs0v5mqqkCKacOEm58+iShInh61zbUICTZbbCuNsnLBBbz/KvPNrh6to7ZmgIh0U0fsaGSkGn8dvScJGJVbt84C1dgDZS+4Pfp8yKRXojuu5i+y9OtOtKI3tDcQAup6MQ8H1dTUbTIfWCbWVQz8ufGZEhSEViBZKg2S2H3AyBCikt3ktQioVxiMyDYlghpakf507fsoKQX+N8nPsgPHJwj2bWpFgfxPJtbTga89VBAJulTDDrYmmCg5TIWW6TdGeJI4moAAmkwJEs0MnFQQCJ4aikqpLbeWaO2Fp272Xrh5ZODng/fmJ4GvnXBP/3EI1jNxgWXDkDtWclXjrNOVRZpk6FbXsEOou2seuvCNpVjKyhEbbumdokBW+mgSAMVhbwXZzCI0dXrtG77AybGayQ6LWpunZw5zLmMxfaBQ1jpddZTgt/5Z/8SMfAB4rkqrcYUnxo6CoDwQqpKh9H6KACefg2+qrG7IblzUXDr0UdQQsl6Ic5I02abH3VKCWnQCjUUCa3QINaaunDtmfoEMVlkubfgSVZrsFOcQe8XT+vT56WDZ7voYYDpebSCaBJUSkgOVkGJo3YlCEEYRJNv5fwwgRFldIbopFTw7TZJFslvvY9waRSzM0YqjCzYNfIIITmoXsPvvf+dGH7I+544wS0bj/CXxTzqnu8nJoqcLrQ4Ma3wo49LNAWG3EgsX1MOKeo1pITbFw7j+xohguFgiTCp82tagiKChWYUWbNenqO+HoVTtr0XHhIY9so0GJsiwV9cqfFvPnEQx3/+jNFup81nf++3OfyVuym3HeJ6JHKVZ1n7dmeVssjTIEe7uk5A5J9vli8Kvn22duHndugzSYjQcsSDBJmed2g0jFMcniWRarBt9zHyxXWqzjI5Y4ibBjsM7zrI+O4vUcl02RiZYqGQBSE5FuogonsrdEp0bJVEJ7rOxUIUKfX99VHUpbMQrjJWja59a2uDWpggJnWk8PFi0ajAMjW0+lh03VWDgnIn4FLnNKFrko9ZnNTiSNGvpdOnz0uGTs9nbfoeeTEHgFeeIJFrYcQh6IlCrBuJZ7mYB6BiVrBIogoI2qtw2xxC8Tj11RgVv4NHgKLYeEKhbeX4Y36ZMXudX/r4F9CcdT4S/iDvOneCxszVgKSanOfYW31Kt0TKNmpFvuw3lkJ2r0wiCPmRubvJWC5pzyIblpCawtWKzqvQ0LsT5JsGnU6HysYqSImLj918YZOuF1w6k9ECLg+udfnEgSXOblx6nHq3xv/z+Vs5tP44ViNyIbVrVSptl23DUeJTtePyhf/9ezz6qY9hO+tURZG6yNFpNS4cp1yqX/hZrDgXOgJdGswo83STR4kFMYJuJMoTJFBGmvwCH+LP/F8id+txmomDNGbu5q0FB6s5RCLZILe5Qy2ZoKXpVMIBOnYLXxgogcu+1XmeSo0Q+pD2JNVUFjOQjLZt1I1DLKUKFHox94ONOvfH4nzAeRVbgxG0xhKu3qAQD7DbAUq7QOtcnqxyNap2gDOjx3Frg8RzDeoFA9EX/D59Xjo0OpGQqzJkkmj5uu7sDQBkRlsoreiFFWG0XTulofo+86lo5auGsAjCx3Fut2nMbsNpmJwK55FALROJ9pnOHmyR5M3BF5la349UPSQqByYneDQRhVE6Roc7u3XMfdHIYGdNZ7DZZmfFJmXtJq822M910NWRmuSqjahjmEsq7FRU4p1J3vnwGO++f5TZL3+M9IkDFGsW1XPRZGkYOqyvf56vPPpuHjj0a89ph+Xlv+fgoZ+94NJR83mUTIZaz0Wz0bq09MTZjfu5M7HB2cW/xW5GAm5tLFFuO2wbiuYeKh2XhaOHmHvmAEFQpkaeBlnc4GJsemW9SuB7tKtVYg2BFBIpwESnKBZ5ur0PgaDqF9CAwXSNj6XeT1umeEh/Nf9R+13W3rhCefsnWKoPcXT/m+h0slw1beL0Fis/ae9jTgaESgrD7XDnzkfY23kSH59iNxq5bGsFJMNHiDlt6sk0MesgSiiZrxZYSB3lM/n7KAZ5rhPbKM1Y3KgM4YUNxh/6dRKn7kTFIK7exU82l5H1NHq+jJtscCXoC36fPi+Sei8MEWBMXQcpKS/dTuAqpMZqxHqZo8go/tqPexSqVXw/8m2XRQtj135QoPJMlJq/pKyiS5XB+iRxoXDWi2L6N+VO4EyEkcuoeg1bqxbt2AYFLWTCG2SPG5AxJbZn8IFzgj/67P+LMf8I0rsOv3EVNjqPeeN4psJ1K5E//7Ec7EQjdAYRSBanTcTEDJowSNs+tcUS8/N/xkMP38aRo78M9mEqZz/9nHZY3/g8lcr9BK0WIpFAaBpasUi1F2lTal1aTbTRPgdAYJ/DLkWdVnP1HDXLYyIfJ2GoVDsu3U6bdmMRREidAg1y+P5FwS+fPMxf/clf8N//00fQQgVFKgSaIIOgTgo9jMpJbwl1BjTBF3a0OSb2cf3CI7zz4MN0uzF+S/9NjlZ/hMaZN1I1KiwsXAXxxIVznPV20hEuoZIi3rUYkHluEw8h1Dp5J/K572qGdJ96DIBuMkHVvJ9f/cwaix2dMDnP/tQhzlpPsTtxLa/qTtNFQ+CQUHPsyNxC1ayT5WmmOh5mU0M1urAcf0HP4rdKX/D79HmRNDsWK/EV1mPrFPQqumMwbBRoryaJj9SJeZEFKEOLSjIk0G26qMxO/wKualCOLWPd0KZw2qdVt5FA03QZDfNMhQWKmmRBmUYJA8ZYontNSCxUMb0ce5193LznYfZeexe3W0UOZXfTSCUI7TySkPr3r/BwKoaiaEz6kUuj5CkoAgYVBcMLOJoTbAoFbRmnns5TGt+KWhwmoaXB96itV5mb/zPi8Ql2bftjysezxE2XhebChTaQMqTZPIyUPn63hpqMyhSoxQJVNxLEUvtSwbd6y//p/soFwa9Y0bYDKYNC0qDc6uI7Dl6vc1woj3K2NEXopC+eW9X52MkuXiKqOX8yrbBk+GRQaBMjKaLzeoGCzPr8RfFmtrmnuGqhwlijwo996iOogWC/9Xa2dqdZSLQol6aodMcunGOBaVzVJVTTJOwunfkCbksHo0yuG13z5oaPvzILQDoR0IiXeGL4SRpGE9+sMNHJcLj0EB3FYl9TUlIFQuklfuk5juZLCAHC08javbVxnSuznkBf8Pv0eZG0bAul/jRd6wAJo4NmD7HHVOisxIllbZRUT/ClRTPZAAGnhyep5/dwdmQbVv4U6HDMugoCCxkfR+oGJgZTSp6s2WU9Noho+VRqRZLTJaY7glrqKGypQnodGa+xa6DEZ2M34sQg1RqkpNXYOPhOWsY+2oHHLj1NwpEMze8FYGP4PvKdKktJDQ3BhNA5PHMN9fQOhAjRkg6BbNKslfH9BgPF11OdVXFbBkYs5OHFr1xoA8s6x+eCO/lNfgvXraGkIyHTCkXqYTSHUWo5SCmp1/cjpcTtlUpIhg2schQhVPKiie2BlEkxaVBuRm6wWEoShAqLRwY4cWITgRP5+FWp4CeyLCSnuRqVDVya8S9zS/BDbNEPUCJBSm2BBOGm+MiNECJ46+zDaDK6rlS4jaTjs2rClu4UDcMDFCobtwJQkGXWjGFC4SKVFKmuw3p7icBREakFsnY0Z1Bs18je2eXUtm1M5yK31orRQk3MAZBd9fGky/5sVM+/rIektCjKxw09jmYikTcDj5aM2m/I7L6obOdvRl/w+/R5kXRsi+9/qMNbnmijxVzU7gAmAlGKQu7sXWAoAkILX4+iXxYHoxf9mYlp3HhUM/5vc28HIMxuAaDhekx3TebDBOVUlky7w+zadtLpClm5Slx0sTbfTWinCUq7CCeOsWm9glBDcq1pVowy1tqN6KKLrT9ITlXYpE7SoohRn2Z1+FH22Wdo6NHrvxOV+cJmHCOHE6vA0CL61ALK1N8AUK7cx6n9j+C1IlF+aumeC23QbB7ifl7PSbGbNcVHSaXwKzZqsUBdRu6XUsuhXn+SA0+9j0bzKUI3ivEXAtrlaO6jKSMXRjFlUkgaVNoObmEYYyDF4fJuQlfg2AbtbpQ/kApNvMDFFQbXSJUDhNza+Ds0HK5T/hsNoVGQFiYaK2Mp9mcH+QHvM+QXo/MIz0MzriVt2dTMgGQYAz3EEz51ewaA3d5R6ok0WUsDkcaULr6MIprMzDI7Sj7XVX109xwnx7fy9PXXsV2sIIMYVa2BGp9DDTW0tTZa3MdyJb+xW3DYWCCmJnCDGvXgLE4v61dFcjC9GbddJJdxeIGVKb4l+oLfp8+LpOPYpLqStB3imxLNjvzwOWsXgaPS3q2hKjrINqZSQfXjzI5PkW9UaMQMThSmsbwUuV7su5tUEF2LcruMiqDUuZmuYTIoLNYbmwEwBs6QzHSxCydpnn4DywvXIEKNbdc9DkCquRNakrB1hHfkfptHxBz3tGwOiTKBCHGfaZFLOFznHMTVVGYTgp0oaH6GthlHz84xdtsG469ZQMtG1nerdYiOcy+edyMA5dIRrF7Y5onaaZZFFJVzJJtD+jrrH3wKNVegoUXiut7sXlg03emugl+lakVWttWI7t1So20jl45J1fJwiyOInODh5Vs4n4VUdlIoUqChEIQum6UkIxSq4iRjYoOz7TfiyGlc12TY9/BEwP37DIbkGrefqhBa0QjBcDyEEiPutWga0QTtJi8DSkjFiGRxormGFIKJxa2EShJhXqxto3WHyay0+ZUH26gjBzirTKLhsRFkkH6aUG+jJuYZs8eRoUdq1GIxdYrH5b/k6eLfAZAx/p5p4xxKmL1w3MdHt+I0JvCG9X6UTp8+LyUa3RppGzIKSEWgdyPBH4pN4ywnCbe6CMUEWhi+g0uRWibL+x5+mPGOz8Pp26h7RaZWF9CMDL7RxAkqSOsch/C5Nh2J057yOjlX4JRThJtW2Tz9BIoXZ+PM64g3Bhk4+27URK/OfmeGsLZAYD9ISpzjq+FuVvUKvptCDUNWGhMIAXEjKp3w0JDGLlSuOXKSkfU1RgcW0cyQhftGaT32agBi+nZGblhC7xUgK8qAx1ejDua+euR2EDLkWG6YDX2GB6su0szQMCN//lLNwulGET+uUyEedpDzaSxPYPcineye4Lurc2S0kLodEKo6rh5ysLyHCVYBSc0zMFDQcQnxebUfTYhfp9yFG6gccG7gpPvvSXRtYqLDiXyOhazJu/kk3TNDOE4v8c1RCZEkvA4t08AjZIszSEIaVA2FhGwzbPVyEgamkYqCpg2Q7lUodcrX0NAanHZCYrkl1r1htjLPYWsG6adR9CpKbIUxNwdAfNQmvulJFE+nJSSelHwi+CEOyjtxApMNvcCKPsByMc7qE/+crzz5S5fzUb1AX/D79HmRtOx19ABiyUj0jO4gUkoGYpP4R9KIXEByk0WoBqhSUklGHcLuUocfmfeY02Y4Fe6gWF2hOzaDROKKBgm7ws/s1finzdHKT/nmKioh7vEs2mgHdfw46dNXk0jPYje3k194I7KaJLBMVC9Fq5fZe5c/wn5tkHJilaI9xpCTYCmxFaUCiVgkwE/lVSZR6OgpNi/OUUg0kRIGr6qgq3UAuos3EzgGQ9d9gnKnwLCq8uDyg4Shy2POKJN+hWnmOJGboKyPUw0kG34WI3S5pfo4tZaNtRElpnVW5oipPm5Lp9zSceyAuOphqQl0Be7+H/+J5tkjuCH4KDzT3kwoVW7eeIKCV6MdKiREkwnlKVzhcVXg4VLlNdrjPGpv4z8k93IwCBhyS4S6waGpvYy6Te4IHyIx1yXwonBHNUzjmF3aDR+pqBw1bbZ2JxkIszQNlSwNMpaFFvisTEaJZIVunHx8D4OxKQIlwDXqoDo05gZwgxiTxiJHvBlCP4UaX0aIEFPR2PKOeTpb6mxLtnmz2McvjFVZI6BIhklMpAj5+Mib+eOp95MXVbqBjh6YKP1FzPv0eengdSIfvJKOXkytW6TstTAUk/ypccKGRmHvMl4scl+UU5H/eTSI8bb1NgnZ5mH11fiFYey4zvH8IRJGEkVKCkaLB3Lb0X0PI/BRpGBg9eboxFJBOziKW1zH8QyE1HC/+hb0L98GQJe9+KrCfV4Rc+vvU4+XSLhZhsQ4jplEORljJF0i6dssJQIUBEYsz1h8EUWRNBpDyLhJ7NrDAJx64BirT70LM1ViqTTORDzOQ0sPsdo4wTG5m9tqDTZzhtPZTdhKZNWv2wm2Wme5sfEUg+1lbGsDu2Ji9UowPzVosdHWcDyFotnBVuOkVR/f6UI96oxsqfF49Wo2pRcZ6axya+UxHAISdEiLFp4I2JoSJFOfxhA+fxrfRWzbf+FB/V4GwwZzA2OUc0V+qHsPaiNDrrIE9iIiDBGyiKe1WQgii/24GbLD3sSYV6RjGKS9DtI1yNkdTo5GobHXnj6K7U0iUj+Ao3l0E6s0Rx7CbqeBkBMjeZz8FDKIJl6lFNR1SI9ZrAUKaUXylpkHGEzUKAmX69GII8jkdP7L5p/jwxM/QNatkEptcGP+ykjzZTmqEOItQoiTQogzQoh//3W+/wkhREkI8Uzv37+4HOf9erTcFn/41B9ysHTwSp2izyucj/3GX/DQ398P3chaDAqRf1nvFli2I7E6sudW/v/uzxIfrBEbd/GFx0peJ9duIbNDhNoyr+PLnIjvoDq+mQHd4UR2lgk9mjAcLS3hCpMpNyoZkJU6U5m3YZwbIb/wRhp1i4bwCaTAki2y3maG7Ul86eMgmIh5bF9P0119B4MlFxAMBFHVzpXqEJomo5rvRKGLo1qMqalThKHC0SOv48RjNyKMaOIwdKo45Zs4tLaHycElsrpk3Vrn0wvP4AudV6/E2Oov0NGTNGNRp1btaGS8KGJl2l5gbXGNk5/cTHkpciXNJn2Wu4Kup5FN2NhqnGSvpERQjkYDa2GaNXuIN6cfQgEmu8toBCRkmziRK0cL02TlQ6w6aY4VQdE6PLH9MYrKOvs37WSg1eQm8/PYVgIZlFD8NjsXziKCzXiiyZ0r9wOwrBqkwyQpGcPWTcx2HLWtM9Hs4KpRUbYZXcEPXZoBOKqNIgKcwKCuZclkSiwt7mNiagDpR4IfOsM0tF57hFm8IHbhGWprNcxe7Z+JydyFz+PdKnqiRnPj8i9gDpdB8IUQKvBHwFuB3cD7hRC7v86m/0dKeU3v34e/3fM+H6EM+dDhD3GodOhKnaLPK5yVk1/gmbv/CtXurd9akEgvhuonaXpV6l6Vv7ntBu4deh0LzgyjOxax1AobOY2h0jppvUDTPM3NPIoUCqVECrn7n0BAUY7R1UMKlagG/O7FsxjlVazaGcLQZdOp32bwxA9yRPp8rnpNFO7olCmaAwwWsjSJfPmbExWkL0mU9jIyH40wGq2zEAacCrchHZUp5qmZMTbUgF1Gi/zUGhulTYShju0XaB2Loo1GbivjtCWnmlsoJmsERJEq99UDkmGbmVqaVx9+LQDdni++ZSlkessRTtuL1OtRklql9//7Cy6GDLGlxv/ardHJLZPwo+90uw7AvJPFVBxuCiLjTZc+CVySwkL6kVj6wQLz7b0cqo8QmBVML8foUpGN0S1UUlnec/YsGA28zBptM+ok6sYtCKFSMSVT9ShKqKxFE7IJaWIbJpmyR+DpTD+rlMPIrq200pGA65kuYU8+LZJkzRJSqky1Nwj9aO4FaxrN3MSHSgZPNSdpuucnZwUyG3VqnpTsmhm6cI5Ys8TgVZ8k1B791h/IF8DlsPBvAs5IKWellC7w98C7LsNxXxQpPYVA0HRfeLW/Pn2+Gb4fgHRwrRKZelQjxhlKEFpRadtu0OGxeI35XJSteW/jvRQHV+hmSzSTJsPr50jqg9jxdYaJrN2aolDqiajh52hmuiTdaMLQOHsarbKGXtqgVjuKEAphY5En4lPM+ykcf55Gd52EPkhJ7KIVhgh8JhORUE3Yy3xlq4aUksX2MyhdG0VPYy0MMRM/hKWbHMq4bJr4KooiWZzfR8yoE8bitGs6WArp6Tauv8i5ZtQBtD2d3YUdHPZn+I2TDYYc2FYaJulayF6Me9cOyfhRh1jwariN6P4cKySUMKBJxuI+XUPw+mO/zoxMY7qR4MeDSJiX1SJvqD3Oej1/of1N4TMcbEZa7wZg1XG4p/ErnBi+ih0Sfn/++/lXX9Q5uuVq4k6Xt/lRG796tkItF0MVOXwRuWhWJnWSVnSNbSMgRLKmSBzdYJN+DIs4mzoXa/FPTA1hJ1Zw9To792275LnINusA5B65H+n3OgVrisnMIEe7GqVGGqGN9LYWDG6JzrsqArZke5m9UjJYbhPLLaNv/ebP4ovhcgj+OLD4rN+Xep99Le8VQhwSQnxSiF4c1xVAVVTSRpqGc2VqUfR55WIfOsTCz/wsQkaTtIOlyAXhDhhgR6LUDet8aTyJHko210vsT16NH6jExyMLcryyQUKN4adcDNslbndopTLUa1PEhMTJnSOV6GCZkftlvFbm7J59CAmW38Q58TncM1+ilBgAAY57kIZfR0EhIxO0Q4GUHp9rfBAt1Ji25zg5oBMGK1jeBi2y+PEkpQXBJv0EABu7P0Mw/SWqlTE0zSOjR69zy0vygPsWzulb6RbOMd+cIpQCz9PZlruGnz4Z43ULGRbjAhW4rl4mO/U4W9727yBwyXhNsrFeTkLJBMBp6rSc6OeEniTQ05hBnAE3h+m20VJZ4kHUrjdtHOXHj3yR1UbUFlIIhBAM+Ncwql+LkIJedQNc53beM7+bzd6NGFtfy9zoNHvWz2HmyshQIFpQNhIk/DQIFWSAPeyQ9SwSbgcZg4fxub83B2F6HjYxtgTRPI0aSoa3TiIG6jSKh5iamiGjRUZlMlElvRJ1dGMLZwmszTjrb0W41zKWiQwB38kxVtzee5JCJndO4RBipzxGTB0BpFSFW1uR+8j1LmYUX06+U5O2nwM2SSmvAr4M/NXX20gI8TNCiP1CiP2l0gtfgOE8WTPbF/w+l52lz38J55GvYvgBqGmy7YBQaJB1CLuRf9YOaxyYHueOks+dS3VqqQRPlV9FkI0SrrY0en7qZJm6Hydht+lk0yy4CkMaMPoE0zGLjYExElabW3PbcfORCFWFjXvic/jL+9mujJD02xjuLE2Zu3CNHU9Fk21CYRISY9RZJfCyuO5BhNA5p44hFIXG+i7ixyPBWtXy+E6SxaW9zMw8hWvFQEoOF67hQ4Wf4jPyvZwbzeAEJivtEUzFYPuDA0ysHGI9VeMzJnwqLZiyPZIjR9GTVYzEEqN6jXcOP4xv6HRbkaun24jTsouMP/3L7Nv4fgZjUX5Bzk8S8zqcCXMEmoEa+jzzfTfz2z/yq4Q1CIwYoW6gSIEpR1GFRlHqdIPouInaDDuaU0hCnrzxTkJF5ZrSGt3MHF4jwWfD7UghyEWDB3S3iuEGbP/5s+TVKhspg/8bm3t7axrgCSQKowMGI3ZIxpPoA1kymch6z+fzZIejkNKBwRV2ZK7mjoceYtNtt5A0TNzqaxjMZthSiP7uRXOcLaN7Lvydxidu4YHUUdgrUYVgKmZwQzbFDmOit0X1cjyyz+FyCP4y8GyLfaL32QWklBUp5fmCGh8Grv96B5JS/rmU8gYp5Q2Dg4Mv+oIyRqbv0ulz2WmWnwJAC0JEYi9aELA2uhs11kFYGr4MmB0dohNP8NazJV5dSqCEIY+Gt7AgZsh26+zRo/IGIrnOsmJQzQ3QSKRZ0SuM+nlSAyfYaXbYKI4y1lliU2IfubCElsixFkbWph9X2SbT3NA6AUhsZQuyVxrYClTiA3PEvDnum7qZROAyUgec05jGLs7Rm1CM30TtwQyZTpf6+hhPHng7VnUHMm7xo/JBAuHyxT1vAOC02MGZxBRSE8x2NpFOlZn1VjllbPBELsWBUZ3fuTlJ2jEwc1GClRo7x3SyzlBinl2FCoEbSY3fVsl3pkmVrmV6/TW8K/0W3pzR2O4ViQU2O7QCeTVOIrBpZ5KcnJhBcULCeJLQTFKUaQRRBu9mGdIOBygMHsATHnLXHGde88vcNakw0KqzqWPQTc/TKmlUTuRRhEKxHemC4ldRO1Gb5ZwayzEdI4QZEY3EXDeytNOjm9jd8hhyAoQiLgh+LpcjkYpGKtPTCYbe/YNskjD0q7/KWDbqhDYPJrl6ZCvW3M/yQzvfTiIRhXeqaop0egdv/5kf4NY3vQqA390xyX/YMkosP0UoobHluYu0Xw4uh+A/CWwTQswIIQzgh4HPPnsDIcTos359J3D8Mpz3ecmaWZrOcwVfyvCSxZH79HkhSPd8DLdE6gk8w6O0NfIHm50EDiHHtu4m5rhcf+Qgm1yTyeo6R/M7mWULW/xVtmd2c8q30RJ1lkPBQKNC08xjqS4TnU3oepduPk61OMiO3Ak0L0PWk6RSkzSddZpxg2Yyj5Q+e5pHKMUmQM1hqdF8QjuAzO5HuP8DqyybURGwO9cPIAjAuJqajIOEwOy5pWotDia24QqfO8IJDq1fQzp0eXDH9Ti6AVLSFhnWgmGUuMqsu5mY0cGMtSH0OZTUWc1rBKqgHSYxMysAxGsnKebbhMAt6bOIoFcXxgvJdqPJy9lbfp173GPoAqaVBKnAZ48+wJgyiCEcQl2jnkzjKipBLEEQSzDcy0oNpWQk0LHCHCdI4QzcTXP3Z5gz85xKx9ixvsCkMAhiddYsE6QglxxBzVR6+zcw65GFLlsC11R5k60zpEWuGb9X2ydeHOO/79rEnwxG/vdcLoeu66RSKbZs0dm85Ummpq4iceONbL33KxiTk4znI8EfzcbZPpzid97+bn7m1duIxcZ7x7geIVSGhoZIJCL//asLaa5OJ9CHhhEteP3A3sv67J7n2xZ8KaUP/EvgbiIh/7iU8qgQ4jeFEO/sbfZLQoijQoiDwC8BP/Htnvf56Ha7DCwO4Neeu+L74098HwsLH7pSp76sdB55BGf23Hf7Ml7xbJw7yyMf+2uklATdyM2ohiGhInC1EGc4EqBYe4SmKjmzaRe75tZozT3BU8oCWzeW6MTTrIlxtupnme82OatEETgl3+fVzSRSKAT6IPcYR3FCODUwja/obBaz+FJBj7+LXHIvIDkxOc360BSBcxQ1tHkqdx0SSY0uLekRAK7i88PuX1OXSepmlrzfoKWPgDaIJhWUIIFvtvBUyWC1wlqxiOYFbA6GCDYm+NXE33JyZCs3nTtOvt2rV68lGYjNU3UjCzddiAqglYMOsdQyvyj/B3du/VcIJQQJyYUlZvM+t05PEOhdhAwJzEgIU1aeUPh46UXOKD5WCElFkJIaKS1HKjGOrkcdhBSC8sAYc5OTSNNgKMxSVessGxsIvwAoHOmOcPX1d6E5ee6z34sqfbaXzpFPRiGtxxrXAVAft6hOeIwvP4AXzBEv13BaBkudYTBVdngqjWQ0uZxwI4dEIpVl6qphdt8WOTHuuOMOPvCBD6AoCvnCAOPjJ8gXbrnkmRlOR+69XCIqj/De6ydImhqx2BiqmqRQeNXzPm/a0CBGXaBeIZf0ZfHhSynvklJul1JukVL+195nvy6l/Gzv5/8gpdwjpbxaSnmnlPLE5Tjv81wL+oKO2rx0PcgwdOl0TtOxZq/UqS8rK//u31P58BWLXu3zLXLit/4z/u99kPL8OVQvEgEtDPEMH6FOoKajkWTMHuG+YRVPN9g7W6ERz3NIWWWmvEHMj0aVk8ZhjtDESEUdR9lxeP169F2gDdHQPObbgvl8ZJlvcudoKx4ZP8aoOY4QKo/s28u9N72ZwNmPNEepF6eRWodDjsUDbhmpeKy0B2nV0gRSMD8YxfXPJSP/8dtCHdVLEWhtbDNgoFIiVFS0VgcrqHOdu53PX1tkqmRz1dIZNm9EE7gypvK2k3/CLWdnCQKV4WKUBXz9wUf5ef6QffIgx92rEavXgYDKVQOcjgksReGxXilgIx5NvurtYdpGPVrEmwxN6ZFUBTElRlrPU4tJFPPi32B9eJKZ1Gu5LnYDQ2GWI4mzzMaW+MdwBJC85qq/Q095DB36OR5Tb+Ja9rOpeAItvYaUgsPuJPXMHiavPcIT09ew4/THKeVjJOwOX7jrPViOAYqgayi0UhI99NCDyGCMZ4uXPA/ZbJZNvUXa06nd6HqBbObaS7YZzkQXn4vrl3yuqnFuvfVeJid+7HmfN21oCKUJrvvi5zC/ES+7TFvTjBo78AJCebG8qOtGQznfb33d/V5KSCnx63XCF7GQdJ/Li7a8wmDb5uSX/oEgiMRZDSUds0No7ECPV5AhxL0h7hk1yTZrjJcdGulxDAFGV2Pf7EkANjFLfPQMRioK9av4UHWeACDUoozPhYZgUd+EKbsU2hWawiPrSQZ8FT05wsj6IqnqLDJsoo/cRjFtoBs2jp3HDjREvMqp6k5WS1Fs95Et16BrOU4lo0qcr+vq6F6KUEjyKY2cHQmLr4JfeYxjQ9twDIU3P+WiebBzdR3TcSDrc+uZJEF8CLuSxkxGIZThvjYznOPhjffz++avcPyptxFKwaHpSWbV6F08oOQAKMYiz67ZHcbuVQpNSJ3q3o+gZRZRtSSn7/h/Obf7boR5UZo2Bsd597LPkDpFihjHErM8o9Z5MtRJT+xnz/hTZB/axNPGTpqmwY2dJ5gYP8Zi9gx2Z4SfmPlHfnhvgXy2xZcmX007FueoMs3D2s3clb8Rw49GAqvZJt20Qt63OV/UIJEdeN5nY2TkXbzqjsfQtOQlnw9lzlv4xnP2MY0BotSlr482OEj27zU2l3/4ebf5dnjZCb6iKAhNoAUaHe/iWpquGz1ggd9+vl1fMkjbBs8jaL/0r/XlTuhGQ/yFAw9R8iJ3hhqGtGNNnMR29PgSsg1WLMORYoydZw6hhgHN5ChC8SBQeeO9n+C1j9xF1raIjx5DT6/T9RPYUvDx4U+hSxfZi9E+6JvMyRkmmcdq6dRFyHA3JBGAkSiSadXIrx5FKEWK+mZ+EJOk5qMEcXQvjZbY4ER9O6fPRdEvq2NTzN/wbsrJyNpc8CRGL+RPSSRIBy2UMKQykEWbf4D/M2Wwp+SQ8g6jewUyrkUQKChpneP7rkdzbQaPtkiILqraZcvY41TDItrRXYSqwgPJEVbbo1ybOcFqL+LllBdZ9jNGExSI+QOkTyzgeho7b/kwxtQjWKNPEo8PMMoiheJpvGQkTYPOIvXCKBlfkAlUJHBSP8djra0UQkFm6kncpk7myA38zSaDpNWlcLZLLNEmWTxOrTONuVVnY8dHabpDrIxM8QP/5oM8Pr6HpCYRmaPE01G5Z+UNLumpYQbEeXewJJa4VMy/lq8n3sM9wc8m9Od8983QikW0ugpr9gve91vhZSf4AJqhoYf6JaGZ5wXfD176Fn7QjCz7sP3CFpHuc/mRXi9hqFPDt6KQSqn4+HqDTmoTanKVsCN4cCJNqAh2nj2M0bXo5GMgoG7YjG+sc+OhR5ClUdKDxzFS6zTcyHK8fd+biIdVVHUIIzAwwgRzbGKaOWxXoSZCNvWiSUQsyuDUXBstdhODXbihGTIgIoERUkWNtagEMZa6UXifbij8085N2BkdV0gC4aP5KUAiYwlIJMh3bI5u2sJd03spxxR+fM7h/qn70L0CUg1JWB28WIaNwgDH0wd4WNnG3fpb2b97C7nEBsOfcXjP3f+T1zz1OHOKpNqYYTy7woaaYMItogWRK0wYB8mksqjo2M4GKhDLLeIHGl68RF4tcv3BBt8/24KUivAClFaZ9UyOJ7Sz1GSVhZiPtVJEtFrcHCrEB09hnpLs37GdpwsaO04colqbwesmEErIujPDcvXVhEYHa+W1oAiCwRjuLUO8ed/TxMf+nnetRW6b67e/DktoDJmRiMdxUZQXLpE3zRR4z7XjXDeZ/+Ybfw1CVdEGBvA3Nr75xi+Cl6Xg66aOHuqXhGaeF/x2ffUb7lv+0z9l/b/992+4zdraGvfee+8Vi/gJGucFv2/hf9cJopomsYRHvNvz4QufhF1AKhp6pkbY0fjyqEGh1WWwskbSbtCNByAF5XgFRWoUWxadxjC62SIxcAavV0p5PD0O3hpog/zYuTvYrhTpKkk2cY6WhLYMSfbKqrSTCoGqEeoGqrEdEcKgqjEmLybpCAQdRbJhDqISMupDPaYRi6nURIgqNSwUNM2jpYwgNZ2hmst8cZK/f8O7mKj73FkVDGgKLT1ybNyxHK3UNDy/xNHhNT41tpVP8sM8XriRvwh+ntqZSUy/w3/60Af5rXv+mF0bQ2D6/NXSv+PPzv5nxrtDoEpu0p4mGSsSKg7lH3gURQ1YevgXaLQKWPE1ckGOEMFA0yFjhKRdm+1VgaPrfDW5zmPaKfZnm+xZhLdt3M1IYhnN7GDOGvz9VdtJeiHXnnwcKXRK56JVq5b8GSq1N5F6+mdoll8PgK8bJDyXrxrHmKxneGvYq9vveJRcn+FUGhWfuOK9qEcmG9f5/fdd86IsfIj8+P5G34f/LRMzY8+x8B0n6jH9IBLRtQ9+iuo/PPKcfb+8f5bPPbXwnM+fzeHDh3nwwQdxXfcyXvVFwmZ03WGnb+F/txE9wTdTDoofWdoKIWlrBE2rYcZ96s4wTxVUdi1uIBHkrDUCzUENYlhGCyehcPPsKgt25B4QakCyHfnsgzDAc5fo6EO8a7tBUo3cH4OlVeY6Go56sYiWHXewxmawxzZj6iquIjA3ZcgpJoEajT58O40voGQMoBgw3lt3dcZ3qfe8D+tqiKqBL2MQhoxUPRpmloXRMW480QW6vLt+PU+PfAURahR69WTKQzMMhpJSZhhbJLlGHuBB7U7+4U1vgNdu4p/e9NMMjV7H1m4UFfPk6BdRUNjuz+DEA3QRkNMz2LnTkO/gHNlKs7wZr5vGi5dJKjqPb9mEYyiQ1Ek7FuNz0buopbbSFDbzHYtht4wmfcJClBfxme3v5YnhNNfOd0mFUadcOfV6lh/9F6w6W1hOmYTl7ZxOXZwJzuqw2Fnmn42/kZt/7EfJaSqrjkfZ8xhMF8nQJqFemQJm3wx9fJwrstwVL1PBj8fikeC7FwXftqIwMpTogXBOdGne9dyKmh+Lb+Ojg9chv2Y9ycbGOueeOQBAu2d5d7vdK3H5BI2e4Pct/O86ovccmEkHxZOoI1exc8vPsjvYQkGPnoenUncQCsFVc2dxVJNiY4lQcVECE1tvcnS7xvHNkkXVI2xFETiFegEh4WDpIKq3TqDodEyNtjoCMmT/0S4PZFwC42JNdDWnQSpLmEhhGApOIFESOlIXYFYJhYdV7XUkioaTjDFsR0bJdY0adSW6l3U1RFEi9VetFkPVyM2Zb3bYNd+lLea5prOVucJ+9NYOlE6K0dI6ZzZtZ9oP8bI7yPkVftH/Q7ZtzPPFa1/LP+3YzfzMjezfeiOyZBL6glNDj+BisUlO0Y77uFIjp2axMmcA6J7dQqBZLAbT+KZDQvM5V9rL7HiccqxA0u2S96LrP17IEYiQkXL5QntoxRO4doJHx67H9AMmztVBiyZKB4IsrcWbiQce8ykNE52zqRDV71ntSpuYGuMd7/rXGJOTDJs6p6wuvoTBeJzdsTLbkt8dg2viDz7I1IevTPj4y1LwE4lE5NJxmvh+GykDut0o9llRAzy7i5IaQSjJ57hlasKko5kE1UtTm//6C1/g33/5AaSUNHrLsn2t4HtOl6MPfOXbdvVccOlY1nM6nj7fWUTYK32c9MhmryFxy78km97JJi1HOnYUgCdyN7OlFbC5fpYgoZPqrBGqDkpoUBRVTm6v8fs/oKAKm1g5KiTruQligcYzG8+g+tHosxR0WY1vRvVWOLhlhSChozzLLZAbvOgTjpkqrh8Sdjy0pIYxeD/h4EHU4GL+SRjX2F23MQPJ21o1Gkp0Lxu6jRTRq6+1agyXy6hhyKuPVNC9MqdEAzMcZldtmLXkaUabm9m+cI6To8Mk9RG8+Bb8BZePL/4Crz3xDDs7J/jgjvfyiWvS/NqbJnjXmyexyzpb9YBlaoyqU1RjHsfWJsiLDO3MSax2mrq3mXNDPn8w/vPcw1uIJcusHejwxPIMJbNAyrGJa2NMWCGne+UlhsM2dkrDV0Piw0sca1/N2aEJ9q7M0+3WCM04euhydSxGXPNQNZv5hEKKFEtplYQdGVFNa5E7J+8kZUTzIiOGztF2NFE6oGu88Yd/jte896cv89P03edlKfjpeDqy8LtVHnn0tSwvfwyne9EnZs8uITQDYaQIm5e6ZWp6nI4ex1tdu+Tzu9UUD9zwOpYaLer1KJvQti8Nmzzz5GN88Y//J8snj31b139+0hYi0e/z3SEMA5ReaG+YDIjFI+u83FkiqQjimUWW/QInc1O8cc3H8+t0EmnUwCFUHJTAZEtYZilm0VBVKvYUIyt3ECvvoebppGyNltdC9SNjZMFxOJ7cSiaInr20miaRi4SuS8jM+JYL1xZL6DihxG+6qGmTzjNrKKtbSSZV6C1OnkrpvHO1ymcf7LA1F2cpZjGrBdRyHdZlk21bH0avV1D8Oj/x1TNcPW+QaZ7jqV6J5R9Y28Vq6jS6rzBaqrCSSXI08/0gA4K1DZ5QZ1Cl5F80/pL/eOajvPmpBt8/Z1OJG6xvjDFsSA7IkJw+yFBHw3zAJRHmcHMLtGsZqsYI91w1hRQKc8ygJ0vge6xXhwmEStKx2anEmWn7NMzIcld0wf1XDfCPb/9JfjHxZ/zu0L9GCQN2L59iQDtBaMSIyy55TWU8W2HQDwgUwVJKZy0dJ9tbtjDwq7x9y9svtOewqdHsuewGDR023QGTN16ZB+u7yMtS8JOJJHqoU2ov4Hk12p1TeH7lwvftU9GQUpgZvLWLwzbH6tLWE1iaibt2cXI3DAM2lKh+x71rJWw7sqLa7YvHBGjXoodp7fRJFhpz/OJnX8Vi8/nnA6QMOHjoZ6nVHrvk86B50RXVd+t893CaTdSehV/PKOhqEul1afmSpAJiqMX94e0AvGnNw+p2aSSLOKYJAtRQZ49fpqVGr9muVBnLLjL91L+hrNWJWZG7Ju110EOPZ4wxlmPDTOrRyHE0M0p+IMrkrQufnWNRGQdFUUikDFwJQcVGz8bRDBOhJMgMptF7K2xtLybRY1B0JcbMEHpO41Mpl4nBPHNqFXn3e1HDAEdpUdwoIBWD4fWjpGYfwfJbjHX2cMvTJZzGnxD0RiFHineQaRxGFYt0vOid8NwEY5pNrNTlvSs9t1FzGlUBJ3EKgN32GAiFMKlCrEOrmubhXRPUUimSrsUSk4SJKoYSo+JFUTNJt8vWMEvGCgmFAGGwlk5yaudP0czmuZHHuHPuMX7i4H2MdgUptYOMmag9t62Fy/be6/0rQyGBqjLaW5QlIXxuHbv1wt962Lg4khowtMvw9Lw0eVkKfiwWQ0Gh1o5E23U28IMaXqdXq3uxZ+0rGu7KRUEtrUeCLYVCfXn9wueN9TUayejFu7/WxnF6Cx9Yl7p9OvVeAseZUxw5++e8O7XCk2c/Stj1qXz0OH7duWR7z2tQLt9DtfrwJZ+HjWdZ+H3B/45QrtzP0tLfXvKZXSpdEPyVlImmJpBeh2qwgRBgjWo8pr2BTfUuU5bEDR1cI4XVq4+SocXm4OIrdtUb3s5aLHqufK1LzImex3zXZLxb4osDdwCwJxXtP5gaZHw4msRtKAGFXPRzKpUiltLxJPgdDzWpkxkcRwiDwakhEr0MzxuGMyjJ6Byx3TPcNBWVB3j9tm0YWZNWbIa46xPQxvSj69SdRRQp6cpTjCWnqOopDOMmdpR7i3QIhTsfO8yuzixGS2Jg0LUzxJJVXAlTViT480pUKCw/fJxPGo9SGZzhqRtvoZ2LyoWc7k7z5PYM29YW2Lq+yAoTdOIbpGNbaMRyUft5DZJqGrvaBiFoJ/J8/Ko9aIHkXy//T37c/gt2zK/y9vo4mxiga2YIVYN8mCaQASYae9o6ipRURqIJ2xvTUUTO3vwkunJR5IfNiz8P9gX/ewc3DFnQTCzdpNGOBLnrrCGxcBq9LNx6NGQViopz7qLrplSqM2avMG3N01i/ODm0Oj9Hs7ce6WPdgPMe+k6nfsm5rUb0++qZE4S1ewFYWj+Ic66BfbiMc+7S+hh+b0Ug17u047jEpdOP1PmOsLLyCeYX/vySz+xKGUSA1CTriomqJ5GeRb17Ej9W5mOxH6WqTvC+kxaBZyGRCEXHjkei8ub0H7GqX4MpouduaHgzViyyMHPpGPGe4Cebggm3TlXPAXDzQJSRWogVmByL/PaOLkgmkyiKQjqdJp6OXByeBCWpkypGYj60aZRMz+//uvECuXddh5qdJXHNDm7ZHFnO107luenqXdy77VOogOjlpgTCw1F6q0LpS+giRadwGyNtE8O4loFOQL5ZJ1c7wmvPbPBjx54h4Qnc1iBGchaNKEEs224xX5jE6xqkshUSgYqvm5zePEkpeww/UPnS1rcTd0NuP3uYgr2BJwwWUi7ZxE20ktG7dtOWu1nf/ZdMZaNKLPds381ivsAvfvyvGBlZpFnJg4S8TBETWQijqJp8IyQQkhg6w36S0U6HIGWgBAE/sm0XdyZL/N+7X3vJ33qkZ+ELIK/1Bf97hoYf8K8sjdnBMSw78n87TmRVOY3oJRHuxew4d/6ib3+j3ODm+pPcXn2U+kaN2uEyy19Z4NTyMlJRGVubp4ZCtfdAWtalSVznBT/UFoiL6Lhdb+GC2yjsXBrX6/XKPNTsS2Nun+3S6WfbfmcIA4sguDS7sVutoAaSIA/Nrg5GEt+3aPtVHhzvcLd4G7uaX+SmksANuyhCEvf8C4KfF3WWtAn2DEaVD4vxIrHB3iThxE7ivZLByQZMhdGzOurVuLYYZckWYgWGetvr6TSKopDNRjXZ45noWXZ6gr/95jcCkM4n2FOI/P7XDaeJbZ9h9D/8OEJReOveEX721Zu5YVOet25+M6dGnkARKnpvpamVvEIzbiIknMpHZY6vIU6+fhpPjfGewxbf9+BTLI9oCG2CZPtxfN+l66SoEjAVRq7ObGOd9eIwVj1PKlNhW03l3e4NCClxs+d4vPMq1gfGeN2hMjHfI+9EI/G5ZIyUlqedzKKEAcPpBdqDB3nz0U9geF3WMlk2lVeYsufRUx2a9TFUzyUepPHbFWQnep92lD6L59Uohhl0oTHWiAyqQr3E5MwWPnbTG7kmf371qYjzFn5eV9EUwcuVl53gn++dbd2k60YP4PmkK6cVQ0pQnrWYsLdRR/ZKt5ZrHRKBRTKwqNeaPPKx43zhU2c4XYoemKuPR2F4y7lhdCdHu3XphGqnVsWIJxjYU8MJVGq+QBPVC26j84K/dKKK7wZUu3UA1q1Ls+rCRhO1GFlj/Wzb7wxBYBMEl7a1Xa1hBBDkJV1LIvQEbtilosN/37SVCTnPvuVPE0PBCW2MEDKdNlYijpAhSSwasWGuGbo6qsUeKxJOZ2gpFsNbN1+w8LMdjameR2FvUGYmO8NVA1dx3dB1mKbKakFnaHeUmfue97yH17/+9SRy0ajBlRI1qZPIRaOCRNbgx6+f4p/fPkPia1wT+aTBf/i+XZiayu7ibh5834NoRhzDtZFSMjtiUkunSHnw+fxRNDHPtZjkGtGc1+Ylh22lU9zsXI2qbwPZISPK2KFgpTXEpjCgG3Qw3GWq+QHq7SGS8SZVeRZVS5AWBkpmlbv0t5Gvl9i2Fj33w+XIzbNoZkipKq1UjpRvoSCRmkNhbYWRjWWSTpfXnHqGc3dGq2g1W2OorocqNcLGIifMQXL+Mtt3rOJKi6KMOstsJTKoirUq5vOUShjutdWg8eKSpb5XeNkJvqYIsoqgqxuEniCQKo4f/TFXF7ayeGATirwo+Hhd/HJk2ZWaNtcnznFjZo5Go027YeOEcK4dNdM2d40hu0k5M0y+ther5uE4DqdPRJUDm+USoWiQ29zkSCPHmifIawH2Si+u3vJolCz+8YPPcOrJdUp2L2LAvXTyN2g20UYjC6Tv0vnOEAQWYegg5cVkm24t+ru4eXC7IcJIYkmXe171Dtqqzi/aHybmqhgCbNnFdAXZdpNuMk4SCxWJPrCJf773n/Onb/hTEnqCq2+8hY+/4zH2bL6WkVaS0VaKoWqMLelIiPYqNoZq8NG3fZTbxm8D4MZ/ewtXvzVa5HRycpKBgQHi5wU/jCx8qxG5KRNZg1u3FPn1d+z+pvecNbPomTyqDPn89fDE9jiWoZHqOpw1JCpHyMfGsXFRRUhTX+AHJ/4JvXUr6/nouTTdyFj6fKvDuIC2V8c3FvF0k9n2HqQEddt+ALaaGifVHcwlNnPjwa8Sqg1CAlKzDXJenWV1hLju0E7lyYbROyNDQWW7zlvv/TS/8oXPEPdc0qNVAjdO082T6C1m3vJqHC3uYj4sYPs6Z9XchftMbMwBMNB+/vo05y38Af3l686Bl6HgA+Q1FdswiaOiioANaxDbSmINbmKjsR1BjECPhn8yDPjSF/6Je790N6VGgxuzi9xUXKJudeiGUfNUtGj1rWvu/CrTtWXOFfMsZZYIqj73/sN+7v6DWVaXNnBtm+LOOkKBrzYM2k6SoiqhGln2YdujshS9KK1ql6VOJCgxWb/k+oNmk3Z8rrdP36XznSDouVSC4OKoza1GI8PWYAyv6yP0BJZwWRzbzO3u42xpghmYmCLECbukHY/BdpVuMoYpHLrCYNeOvWTN7IWIkIn0BL9x629gaAZDiWHe/FCRhKty7dAg8cDmjti3ls4fL0RGi9tz6VhNB0UVxF5gOn98IvL9LxZ9AiXEVyTpTpubq1vxyydQFIPO5LVglMh4CebdWwjCJAem9yMRLHWjCWbhqwwrOu2giaVGkWmr6hjV0wOk9m5gG8vk0zX+iXeRtlvsPvUMHrNo3S6JuMugU2aZSfRkmXYqR4EKspNlLRzC2xOQa9V49VMH0VSHmeRhmktXg1DIhFHHdy6l01BznJHjfDR4PUtq5FZTWWe8uobuOkxZz10j4zymolDQ1Zf1hC28TAV/wNCwdZOCjLHzVJsZt8TK8jYQAlemEEKnmz4fLik5fv8/cuDv/opKs0lM9cjoXRxN4MjIemikB8jLGqbeZXvzCJ6q8ulr7yboBFSXLYRUmT18BpSQ4u46bnWYBdFlTYyTVCWh2hMTy6O0FE3IllZqlHounTg2rt8rzCUlQbOBkznvBuoL/neCwD8v+BetwG496pCtARXVAaHqdIRLoGnE9RqJzibifhxdCNzAJtu2GWjVsOIJQgG/uuPfcseWLV/3fACpfBR1k8zlmRia4uzDb+X2QvZbut54/qJLR5oqSydqJHMm4gX6n3Nbo+tLWS2K1cj1keq6/Mz9JvXH5pBhwMD0bq4xvkwnGOLR9gfwtQ5t4xyuGcPoRO327rpKRqQpK1UCP8pTqcdTbDyWBQnVbZ9greDyjLieOw4dwAhCQjOBpTZ4zUPLDDZqrDCOTFToxBMMaqv41Tjr2ijagM8QLcxWncmhRVTFZ2M+ipHPiQH80OWpmRlM2+KsHOOP5LuJhdHoWVfm2T21i1/5y99iZ7LwDdvit7dN8LOTQy+o/b7XeNkJfqvVZsdTj5C12kwJlfG1LjO1Kqsb0YrxgR4nlApOKpqUCgwVYbdQ7CbNVoO46qMIiMXBQ2AKqCdjFIPoAboz9iQi9HHiu2lLH6saCfXq7DLp8Q5G0qe9sQNfdVg0okQdL15GH0kSdnzW5qPQzVqpRetZtX4W2lG0UFQa2SdMB0hd9Cdtv0NctPA7NMsbLBw5hNdbj6Cdh5QXWbK2dPBVDUM4xNoT5FoT6IqKG9gUW20K7QYdM0Fa63BsYIpkL8Tw63Fe8LPDozC4HeUDn4Td7/qWrlc3NTQBTgj3ffIMG/Mtbn3383cuz0dxe/RepDothiqRUKe7HulTh1CwMZRjjCezbNKf6e2RoZY4xcx6SD0dIpx1pIStdgEhBPOxFUTYwPS6NMw4jm3gPJ2nPfYMnxqcQZcue5dmGU69Calp7JqtIoCxlTK+0DmR93F0lUF1A6vmMduK7knb1kTPbDA0egq7WaRtRe06ZkxQddY4sXUvpm1jEadGhlvDx6N2EvPc9rrX0ci+jztfdcc3bIt3D+e5NpN4wW34vcTLTvCdlkt6dYFiq8aoiOLeq+0RZGCituogFJqii5fYIFQc7BjQWwA6b60QVyNfaC4d/eHHgzr1pELOioba6ewCunMWL76PpurhtiKfb215HTMb7VtuRP7YDSLBtxKr6JMpQsujvhYJi9sJCLsXwzHnW5HgXyiNnAAZU/o+/O8AUsoLln0QWDz52U/z2d//r/h21PbNTEDWi1wEtnQIFQUdF6M9yaAduUT80CHVtYlZXXzdIBNa/PnUKYR4fos7WYgEPzfcixjZ9gZQv3WXjKEK5t2Qs0+XuO09W9l24/ALvveBsWid1aTVZGbpHEooSWe3wMxVhAHE1UcJ5DQL8vsIhUcofJ4YPMq7HwnZtlxDyC5eqLMoo+OsmyWEhLzdph6PJk39wzto+nkeUm/h6s6T2NkUTT0LAoYrTRYnJpg5twzA47lonzwVWlWT9nwCt6XRucGi+M46RqrCyup2Aq2DqvmMagOsDtWpZ4voTvT+3R6fZ0qPJoJ1ZZ6xvdP8yE++gS1XvfD2ebnxshN8MyYRnstIdZ2CiF7Y09YOpAhRK1F4ZlW08c06gd7GU3svpEgy2l2jlxRJprf+Zvz0P9JMKKTrcZCS5biP5hzBNzZRMkNCPwqPsxstjJRH6As2rMgq31CiaIKN9FlaoktoeXSqkR/RsyTZxtKF617oRUJcqKOTkMh4P0rnO4GULtHSzJFLp9tu4XQ6+L1yyJ2YRyZIYuVOEX9jVGFVDz3MzigDQeQCcHqLZsiwV5RMGGzf/mvf8LypfBSJlRsefVHXbWoKAbDvzgmueePkizpGrlAgVFRSnTbDlRJmIDGueR/GrreD1JjrRO9MNrgDK7lAO3OWk5V3sn/nMKfGotGq4kGVKFR5b6zKT9UlWatDLRW5p8z4Vg63biMQOgP1+/B1g1YyEufTYxru1M3MLEdLKe5PRe2ZlzU2VvNkF+pUVpOMpwOWJmJI32CtNI1r1An0OKpUObU5QAkDEl7Uaf/Q8CqmvgDSQxcnEPEsO28dRdVfdnL3gnnZtUBN64DvkHS7pNU2Djqngm3omSor5gAKIVWlzZe5k6YBQpiAiha7kbhv04qptBMq+TCy6DuqRagIkqUcwtGZ9xXUno9yJW0iepNGXreLnvDxOhqVIHoR2soYwkvQTC7x8BNHIARNQqA4BK4g1ynjNJJIKVgqP4GUwcXSyAkIzbA/afsd4Nl++yDo4J7P33BdQl3SVgMyfhI7dwoxHHXARjvACVwGlUig2nok9HYiMhQ07fmXsTtPqnBe8Ee+yZZfn/G8yUze5I4f3PYNRxLfiFgsRqgbpKwmKbuFLgVB9SSGNo6SGuVE8yqklJgYdDlKY3w/ATr7Uz/B2dz7kCiYjktXgXbYYdjPkl38SXJWi048iWOY6MVJvhR/PZvt45xyIiOnm9gAKZnbN8be9C3kugHFoMwpPVq4JW65KM2Q8ZVznGlpaKpgfShGZ+0awlBHqh6BiNr+eDYk0e0wmo0msocGChjKKTKVf4aq1uFFLGLycuVl1xJTmSkC6WOGIUna/Dk/gofOnpEnedO772fz1GGqos0X/UMsigBFGgh1ANXYgULI6W1Jju5MI3vJrtV0JOjZloC5bSw4KjEvit6oplTE+dUvfQs95eHbJuu9SIuCn8KwhvDjJdbFowAYAhZyx0EKYm3J/kPvZHFxD2alzPz8hy64dGQCQjMg6Lt0rjjPjswJAhvHitrcC0PCPNQDQTpMEOoWHtGIzqwHNCmR1aP4+PWeC9CKR//rvRHiN2JwahOKqjG0eeuLuu5b//keXv/z+1C+jUQhRVFQNIOZtWVUt4OqqIRrJxGKjjZ2LUVzDCEEmqKTCuOMdZZQRUBS63JDY55QyxOvV5FInlHPcGb1JyiJPPlesEFx+m3YWZ0ziWk6SzYtrYOHQqg6eMKjHEo+tefveWJmM8PuBkFvyUC9HkXLaEHA00Jyvmjs6uJrL1z7gMzi6HWWYkkSdpuh6agdY72cBDNjg5560W3zcuRlJ/gAUpWoigJdlY4VIxbYDCfXSJoWuUyFqtIivb6A5VXRMUErEmoa2ZRJJ6HRSahYnciFU85G/vicY9NYuBX19Jt578EfAqCZMJFBh1j3yyheGz3po3VDqhmNUMR4fXsdwx5EN9usJusAGEIwl4/K6gZuhlBqlDemKTabnD39P1h/7JMAWOEoTjxN2O4vZH6luVTwO7i9CqUukqWhAieaQ2T9JIHewe5GQp46KKip6xcs67mBSPjPZ9ka8TTfjMHpGX7prz9JcfzFuWOMyTTmVOZF7ftsNCOOYdUBUI04wcYJpAxRBrczGLt4bVtju7hOXs1AvEJHaOi1VZpmAWGvMOkXOGVUQLFJxU5SbPVcXEO7+PJEEj3w+NH2SRDgEhlRdbNFWrYxN9d5fM/VDHSjkXFStvDr0agnEDCf83BCA9/V6Dam0WWvOJydYNGvU2oNknZspoYiF1J6IJpPMFIBxL61qKdXCi9LwY/FJBLJxuIE3USCoZVVhIgq4JhmG0u4/PAXYwysSEwljqIOooQ6hYyJaypIRdDNKJjSZb0YDRtHU0dZqd/Krvl3knVV4k5IoA2jtb5K3T6MCOroSZ+BoEMrAVLNcVO9hG4PktQdVlPRwxwabYZkJAolP5q061gFUu023cBkI3wAgPlDv8x85l0E7Zf+Grzf6zxb8P3Awum5dAIFvjhxJ+c6eTJhhkDr4PYmbxMll7p5sd7S2V5mtB2P6rEbmYFv6dzqS6Buix6/mH2aGhwCzyasLyAyI+SM6Pm3cRmTOYbCfQwlSjRDEyXwmU0MgHS4yd+KRJLOfxlLCyh4FkogeTqp8MWRCa5dOEHq/OLpQXTPdbNGJqwzoqxxYMc+is06AHmqWPVNOHqa9aKKDAaJay6qFjDhCTIyGkVt7yY4K7o0RJa8Itg3kSVpqAyNRYXbhAIi/+LmR16uvOwE/4kDX+AfJx9gLjXPM94+NM9jz9OH8Ho+VSXWASTTbplkq4yhxFDVEQQKRvHiYiPhkEdc67IxPEmhXWds76eYLvw1f3ftbyJf/dvk2wFSGyaQvXhfo4miSkZlB3QLjSTTJR3LH0JVJEVyWDiYqsdPVt8GwKKbu3A+r5vmgHUjjWQMX9XxuwW62lAUpfPxH4cvfeMJwD4vnmcLfhhYF1w6IYJFcxhFbxAL0/haGy/suWw8m5ram2CXIWcHexZ+Ik5adlCSxe/wXbx4Yr3aUFIoFKYisfRLJ1CNDEpvoZQuHsMyy9FuyFCiRN1PIcxxTukTxNU0eZEm66c4rQ3RJkVtwqbY8fnihE5Dj/GB+Rhz5ipIMJzILdbSm6TCJlnqSF1SqEXtWaBKpznB6vA7+Oq+EhPVFMKF+tnXEnoGBZkCaWKic3gwiRVLMqCpvG3fKI//xzeQKV4UeRHPfQdb8qXPy07wt2S301UkZ8ZuwkmkGFqeI5Hs4pkKCcsH1UfXu9RzOcxOFSEERi+Tdnn4Yg18MdwlqZZYHRhmpFIillqjMnAvzViFqbhD3mnimAWcXlKVmez974T4isVYQzK6nqYcREKwSaZZUisMhwmGZGRRtd3Iv6gZHcr+OPe03sEnp78fOxuJhSOKhG0LZu+Hpf3fkfZ7JfLsSVvft3Ct3u9CsC5TCK2BIVIEWhsviAS/kTGo9cJ+XSWknUwRKgI7HidDGyX5rVn4LwUSmRwAoRkjPx0Jftg8h3iWPHh4KCi0pM+gWcPFYLV4O1UjT0qPntduNnlhJH22MELeq+MYCgO2yy3OCA9nz2EECoaTI9baxEJqAcvIoCAZCjZQWxIhA9Jem0oyQ14ZohNvcXNsDLmWpHTkXXSNVW7ytnK7dw2+gAdnxvB1g6G4iRCClKlFoa2JXofbF/xLeNkJvhl3kLEfZN+ig6eo/Pb7fppPvCdarX5iJUqSyuhtGrks8U40JI8pBoFwqeQrBCGINpBvkVIXWSvkGNnYQG1LDpoJEm4GYeXIiSXaMQNHROFlyVwkEh0ng4fFnYdiaIlRvGoUV23G2jTpklF0FCQitDD8GL7iIPKr1J0hrj59gtXEKN1MVBLXJUfoBchOHTpXZhX7PlxSNM1zW8jeKlcSQV1TEIqPriTx9Q51EbklFjZvp9xb4LyjhiAEYVyLBF+0UFPfO4Kf7kULhWacgV5msFYQhFwc8R4artHC5upwlFGioISHzTwJwyZlRj7zZsKEiSaK4jGXmiBJFM22b7XJ/PLHaYplUpZKws+ClyJQAubzUeLXcHedtdQAP+L/LdfWjrCWTTDUEuiBya23v53VQz9K6MXxNx8jjsGuMMVC0mclmwNgJPk1RdFSvZj7b5D49krkZSf4q7nNNPJvYrRdoSV0urEcz2zfibYiyJQj6yOvNFgZGEH0ysLqQrBcOEgs5qNUQWwItEwF22izkU4x8v+1997xlpx3ff/7mT6nt3tuL9ubVnXVLcm9YtwbAYwxEAiEHxBCIARCCC3hRQgJkAABUxyMW2yEC7YlF9mWJWvVt/fd2+899/Q29fn9MWebLLlIq5V2d96v133dc+bMmXnmmTmf+c73+T7f79oq5jHYg0m5Pc2RdoYp+xBSEbQTUSiYmop+/H/vvo1cP8um1gyKEIjlHFIKbKtFU/RIKRqttb3YbgNLavS0Pm5uFlDYuDzHil6ml8wzetNfklv/VRwzT+CLWPCfR8618D337CC5q+j0DBfLUdBVi0Dv0gsjH36oG0hZxJEhDS26roQZ0rNtEkoPw376rIwvRrLlSBylaVPeGEW6mJtmWEsOCgIhWb7d5uvaQfIyyUvnXokOLKKwM3+EkeQGAhkwWxIcmhnh6ps+w6pWZkzdgxpIlMqj/PQrvwwiZHpFxQpS9LWon1fs6Imi6K6xkB+j9LBGeKjEQlFBIJiqXcXavTka3V3Yvd2M7lhPf6BaS5mzrriJ3FMGZwfx/LHgn88LP2L0PPDW+/8SqY6zdzyyPFbsMaz7BH6jBLc4ZLQGvdRGAm8g+ErI/uFvcK0eYi8KKhhYY8s8lr6FQFEpVyvIdoniVeMk2lMsZVf5Wj+qW9vIFhlxl/GtKLOf51rMtGYoisiPuCY0LCeBZbWp0kdTPFY2300pp2GnXTpqlwVzDc1sYWghFYp0U1kyU19B0fr0rQKBp6D26gjfBc14YTr1Mua0D1/TMnju2UHyupFF0eqUaya6YiJ0BzeMbvCJ1gqmSFJTmjyaNUm5HkFaQyoKBi6mab4gx/JsGFo/TX9kmuzkBvR0muxb30r2jW/k0cf2MtQp4QuPdaUR9upPcL/+KC/p3cBv4PJ/8fiV+lUUzAJf9hyy5hwfF2/ghFiHL3TeWv0mt953Kx1vglsfCXhk+0a2nexCAqpqlPpgfKFHs5DBkF0adhbHSRKIgIbza8Dv8srDP0hd69PMHmB1pM9NU9ewZnYY7wlksYeQEikEU6WnjJmkBnMb4iid87jsLHxlzyOMhaPk6h32T28FGbLABMohnfbCBKqTwUg0UBRo6dEjq2vUmUsfp6RJ1HlBvZ9Bs1qspiJrLun2SeXfwC8FOxluT3JNY4XCUjRBqpYpMJOqoycDPNcGFCY7E+h2kVBKWuoS/V4Ky+zSUfpUp/+ezq6jGCNzpDIrlLMVbku7XH/DpzGvX2H9whytCROhSDS7Qd8qcs/sRu5d3gDdCh8/9HE+cvAjL1T3XpacFnzDKOF5bdQgxHI96noWoTcYqpvohkAI8AYWfm5tHyqCh7Vj/PWMykinj1OKbsY6/iUl+OlcBi8/xOi6aYQQjP3Ob5O85RZWx6Mxir7aY3OmzBsmD6Bd9VEWy/dyFwZ/TpKk1JhT/5bj1ifYuKAghcJJfT227NBuj9JrzCGCPHfukfzAPx+n0ItcXQtDkYVfqveZ//MRCkdWaA/mLvR0AyX/CnqZOloa3vhz1+DYUe78yfJGmnrkUirO2EyFkUt1+lsEf2Dhxz7887jsBN80QnSRopceI9BMNvsP4AqTw/lR3PYQeq+ElomsuLVE9ANtp+bJG1HSNH1JsEgUe9zIRP53JWPR2fEk1e3/l1uv+RQb/ZAfe2IazfeoZwqsMxz0lEffSaBoDTSps5aV9DyXUJnF7RawrDZaZo7ZzY/wE8Hf8LWHf4Ld33wz/7hnB/+8qCClYHrDE7zD/zCdkcg9pNl1elaBSifJSi8FnVU+fPDDseBfYCLBV9C1LEHQYeNKjVuPztMwsgitwXDVRjUHxXQGxXOOrl+iIVSWlDod3WC84yK2RzH5KsElJfip1KAK18j5M37FdAYpfFYSp5hOlhl7+evI55fwt6t8InWEf9bqzO/6K27RP8Kv6R9k+ng09uQJgyFW0O00QdBAlQarWZvRmk9iUKB8KbuAHugUOx2aCUhWmmcEv2OnuGrqLn7mP76R9//WyxjbkEdVoyi7VCJFS+/T0mDb5s3cMTaCCgw9tb/P+PBjC/9cLjvBP7SvyludG3l8/UaUoMWbxOcAeHL7CMLKoffKqOkOoYRjUyOs0aCdWGFmMP1aWxIsOpsAaA9m2ZLJ0yvux2xNYg8dxd8kuH7Dq8h06jQyBbr6NrRUiOMmqWeWEF6HeatG3a3SSeu47TKG1WHztq8x526npyXYX0iBgIz02NPXUFWfTjtLMVnBG0T8aFaDvlVABNDyTWivstRZoNKL/fkXkiDooqoJVC1F4HexPB/LDWhoKXSlwWgrTaBH58QbzKEwkw5zShIpJNfPHmay3ac/iOARyEtK8HO5HG9961u54YYbzls+kZ1i7uo/5cGZ/0fWyuKGLUCQL+5kctcfkr3tNzAzU/hyEAbplbBkNB4yJNdQ7CaqHglvPT2CAiiihKN2aVhV9FBnYnUJ01Oxl1p0TBsJ1M00Y6aKldTRTRUhBLZtYxgGqqryxPA+/nhLhbHiBn5h/Sh/tXPdt5YljAdtn5YLIvhCiNcKIQ4KIY4IIX75aT43hRAfHnz+oBBi5kLs9+lIFCu0ZJcHx0eZ9r7JRvUEAEdGy5ApoHcLhJbPnhGbf77l5fzn9Ws8mlrHxnAdANqyoNrYQBioNG2bhNsjLFYJtT7FI28m+NoPE+pwbNdvU2itUssNsVt5DUbSw3ESLCW6jCzMsqTWOKRHeUPcQfF0226xtvRGAJaSkVVV8GBNUZC+id+Ywk60qS9k6XRyCCXEzVnsHF5k1G7Qrc1ScxrU+lWCMCDmwnBG8FWbIOyhBSEC8DSTbTUDW9gEehTJ4w4m/Vzb9vFVhbZhsXX5FNnKXpbDYaLYFuWSEnyAq6++Gsuyzls2lhpivvgok6VZ2q09uO4qup6nOHwVaaNDwaqTzmzH1zcgpYpvD5OV0dNzvt9H0ZoINarPG2rRU3PfGqJlRoPBCjbZSmS8aF5IVtRZGitwbGicCfv81BSWZWEPlv2E/SS/sfbrCEVhzDJ4TelprPgNL4cbfwxGr75wnXQZ8JwHbYUQKvAnwKuAOeAhIcTdUsp956z2fqAmpdwohHg38F+Adz3XfT8damozXy/26Oka36fcT6OmomYazCcmWNtaxu4dJBQqD2x+CaFyNpLihJvmttYv0xBpVKOM0ymxmBxhplEhXZhFhgKtsg7N7bB4+C5Grv4MQ/4qx9Ob8PodVC3A7Vs4YokdC1MsTsPRTAuz16dw8jjcBAvzWzhFZHn07MidVPQVeopCdXU9SmuM9Mg+FOHzxOOvZufVXyAoKVyXWmSTX+HU7JNknSwCQc2pUbIvndC/FzNB2BsIfoJQ9jCC02GZBlsrWQylhatFQnbah39j0+BeE2YLw8zlh3jt/kfYw1bStHExvkU8L0WGEkN8uGbwL4oBD+1+G7qexTTK5MoTuI9rGEmfQuk6nKKBMzeDPZSi6NdYNiDbgtb8DQihgAjo2ZG7qJ8o0TajwjJC2KjtGmSjPh2RNT6z8RY8YTCVOD/5nG3baINZyWPf/yfgfoccU8kivOEPLnCPXPpcCAv/JuCIlPKYlNIF/gF4ahWHNwF/M3j9MeAV4tmm9/sO7LrxWr48miDt99mlPMkTx7dj9ZepmJOEShbhWZxkhlBJ8vr7Ps5nPvYYt8wucFKfQa7onEoNk1SSrHWHWFRHua7uky8s0Kpk6PR6US6cdnSjGDbWCDQdPz143G8qTC9VSVlTjIQ5EJKw5bF+9zxfXHgvx47dwGwyupCdQThnyY2E/2sH3oDVHUZRA7ZO7UVKwalTOzGyUUoGW/VYWjzOtWvXcl3lOirN2eej+65IgqCLDEw6VYHERTv9s/AUMj0dQ03h6NEgoxfaqGFINcyio1BPpDhRGuUl3gTrOMV6TtEXiTPidCmTN/MccnTu4SWMj78Hz6thWmPoloXfsQgchcLwDlh3F93UD5McTpD3o4HeQt2ifuSlAOiJNq3cMBKBrxfomtE6QqTRgrOx/uNKD09Ev4eZ1PmDsNddd91Zl5OZhvSzyzB6pXMhrspx4Fz1mQNufqZ1pJS+EKIBFIHKuSsJIX4C+AmAqampZ9UYR7N5YMTiZvE1qks2K+F2Mt1VlovXooc9QkWyjx0ATC8o5HsNrqsleGByjKOdTaylh8l7kkNyK1Io3NCxSKVqnJrdQs9psZIQeJ6F000ymohm5tYLkd/Sb8DQooGSmWCjX2LJqLPop7A8n7mKwkRosTgYKO5YCZAKCTd6HL2zP8nWQDALbF55OaeUGq3mEFenn4A6CCHoVFe4fn0PTQSsruylrE/jOA6jo89fvhDP6aMZ5rNOv3spEARdug2FznKf9JRDwolEyJag+xLDSOEMaiD7YRItDDgqR3myuJneUIZst01W6ryXjwPwj9r3v2DHciFRFZVyokwpMcnWLb/BxPi/QNOiiWduZYbuShXjdTb6K6dI3THO/H3zFPo+JGCmWaAvQpAKdraL743jmFlAQ6ajG6puFNGDo9FrP2DaUCAKumE6NXReW66//vqLdtyXMy+qQVsp5Z9LKXdJKXcNDQ195y88DR98+D42uae4WfkK1ftHODgxxUinQqgmcYXBslZkPzvIBoskvHGk0+b6QZGRffpO5lJDZF04pkW+x/HM5wGoNqbxOmsc1yuMhgKrLlmXOBx9lo+u0qAeUKwYiEyZEW8Yt9EFopQI5oMufTQqtokShvSsBIQGVXcdP7zyfdympzjZzgHQM9fY3t2K6yYwragSkILE6LYYLc4yOnycubl9fOADH+CjH/3os+qn7wbP6fNnP/leDnz9K8/bPl4MBEGX0DdxezooPsogF+8wCsg+hprC1VtIKfCwUKTkD/23oyoaUgjWry3jnzMr1defewbLFwt/8oo/4Weu+xkAUqktWFZUxS2tvwJRvwMAoSmoSZ10wWKsnsKQHhP9MqWtUbGY9JCL9NL8802RVT40EfXPaHrojIVveT4zg9myGVokte+tGHvMd8eFEPx54Nz8rhODZU+7jhBCA7LA2gXY97cwsdTml/Rf5bYVhaCSZHi5wsZWtKslW+Pz9vUcYDsbgv0EQyNIt82E1qIsl9if2Uo6P8KrNI1FY4IxOYc79lncnk7LLbOkrdEWfUa9VRKrLiP6PEIGrKVBSghqHlqQwbJzdMOAzU6G+rZj9A2dX2r9A6bdI1QU1lWiQStH01mnbOE9a6/npBPysbCO5xuc0lap6NGksBYGv1+a5vMJmyNDOzDMPkJITu5xmahl2LhSwPf956Mr6TWbON0Oy8eOPC/bf7EQBF1CzyBwDZCghNHM2SIWoeyhaia+3sH3DQJFQ5c+DgY/NFfhhx74HC87fpTeIIcMQGjmXqAjufBszm9+2rGiV7z/p3jLL//H85alCyZv2p/nQ19zSJsmM7fuZerlv0dpUoCEG14erb9jfTSOdd3EBKYZuTYtz2djIVo+pMQZYp8vLoTgPwRsEkKsE0IYwLuBu5+yzt3Aewev3w58UUopeR4YKVl0VzZTPPIWTC3Lrv2zXNeKBPZYSsH15+mJJFeHe/jLXRlOplW0ZJXNHOBQcQNvye0gqQhOJEts4iCK7tGcSwOCw6MmptQo9ST15RwqITmvSc2ycV2be256Pb/6c/+Vh0ZSeKLBmJJn6wT0xwzUaoCVilw/21ejC9oxdGb0Mvu0QzzWC3jghknu9V6JkVoBN4eQgv39KT7nhfyDLLBvZCcSkFKh30mww5xhgz9MtVp9ht54bvQHRSyalZXnZfsvFoKgS+CZhL6JcDhd0oaUkscXLQzVxtc6+J6Br6hogwipiSCJCF1sadLhHMG38y/AUVxcVE1HN86PRErlLZRQMt2VaCmDRGKUROko+ZEoIq1ysA8CNoxHLsgN6SLWoNqXLRQ25aNqV8Nq/yIeyZXFcxZ8GRUD/Rngc8B+4CNSyr1CiN8UQpx2Zv4lUBRCHAF+AfiW0M0LhekMUzv2Gqz2FFqySLJ5ivF6Ct3vczypMK9EP9Zr2cuP3v2/qGkebnKJTcEh2nYKL2XzVTWkr5tM+McAaJ20MULwdI0NwTCKO8xyLYfn6AzJFapGnv/L+3hs5y2Ynst/2mmxmqiRG26wK+2j5gKcuo4z+IHsqEYXtGdFP4STfp1qosNyfoRHuQ4js0DQzlGUKWr1Cf7rBwJe8RUoBjUEoCgh0zOPoHohFgZrlQqV1WX27n3sgvbl6TTBzdXLO+4/CHoErh4J/kBrfNXEUAoQ9jBUk1DvEvgGgSJQB8nVCr6NLXuUwxx9IfEGQ2IiUXihDuUFJZk38Qb3PSNrYFuRgJfGSyCgttQllTfZNrSVuybuYtfILlJj4yAlKd1kLDlCljrrTO8FPIrLmwviw5dSfkZKuVlKuUFK+duDZb8upbx78LovpXyHlHKjlPImKeWxC7Hfp+PRJ+/mRjeyGtL5NsgeB2u3MNXQOJ5SqCZmKDkNhswKKaGjNn2czEmmO9G486NZlYdy0VVbco8jJXSWDXJESjDTSyGUEXp1QX01w5gyx6w2xb3WK7hj9/3828/dg6sI/sc1U7Ru+AS6EZK228hQsKAVMD2X8f6ghJ6ZpR+GeJ1RjpQjUV2TJfREjY4nKIVp1CDBidH1dJIbuKr+yJnjnBw/RNK1UFFYW6rwh7/3u3zyt3+LC/ng5AzKK14JFr7vGIS+iTLIo9bMzAACJQwwhYHUegSeha+CMrDwU2hsMUNu8TfhKyE9kcRHRbUuHx/+94KqKjAoFG7mTCw7EvxkepR0IXLdZEs2CT3BH7/ij5nOTJOYnuaGE0tsSOZQFI2Pb5X8+61PjfmIuVC8qAZtLwTX3fpaTqajgdIZq08gDCz3IxTdZY6lFI6UYbIalRjMjdyOu2WBXv4QpRMS03N5MBdwsqii+x7zLZe5/VmKosuYOEopSJMmJGWWcAIF+5DPpHYSgDvqj/H9X93N5r7JL+3rsq9Q5u+919NZS1MaqhNqghPKGNleG58WahDg2TlWfZDeCHOFyH3Sx0YoIVqySrYn8FXBf/qxn+HX/9V/5oPDb6TNIId+r4gyOH0nT8zRq3Swgj61tQqB79NrRWGEQSipdtxn1ZenLfxes4HnXJ6P2VIGhGEfzzlt4Quq6SyPbb4RpIMiwVBMFK2H7ybwVYEysPBTCIbUHADC0vCMLD1szMsgBv/ZIszoKccuWIwMv5HNm3+DZHIz+ZHBgGzp/AlVxuQEw80uiUHFsKtGX0YxPXNR23wlcdkJ/rYbd7HQ+SYhIUNhkqXCrXRc2LjWpW4oeLrBzNxxALSRk+TufAS7uoXUvusZblZ5PCeZL+qUW3UecjZR+eoow5bHJuZ5g3c9irpASs8TqCpP9LdyB1/i/5O/z5tPPEaKGRKJIe481eTqgw/z6fSbeHzplQwlXNxbFZZzJXLdNjXVIen2aJs2q14kHg07ssx7WvTDsK2jCL+EBKrZImMrS3xz6A7+LX/Ep3kjfmfdmWNem2+S9SKBP3L4ALv/6f/xVz//k4RhwMcfmeP23/visxL904IP0Kxcnm6d06mRpW8iBxb+/33tm/ivP/BacKOnPlMxUHSHwEvgqyAGUTxJBNkwStKl2hpdLUebxCU3y/ZCoiYiwU8UbTQtzeTEDyGEID8azVB+quDrE1G8h5q/Mt1gF5vLTvABjujztNQOqSBDMlPlNWOH2NQ4G0ce1qL4+aGrP44MNUaf/JcUcjsZaayxlEmzkrEYblYR8hYEAmkajMkeOhoZ9QCq0EhoWR5wrsUMHG7iAXq9JO3UOEOiTEsm+KO5P0MNQ55MXAdAZ3uTarZAvtuhojgknT41U2fFcxH4uHoU39w3E/hozLTuphvahKqFpxu86b4v8P6v/zqmdPlc+P1kvLOiYjmS1KCIx+yxIxy670v0W01alQrHKx16XsADx773oKjTLh2A1url6dY5nSkz9E1C30L0BCv5Io6h0jaiY1aFjqq5BF4SXxWIMEQVPh0ZknAit4WaMLjPeg2f4DWXxSzbZ03Roh1IksOJ8xYXTlv4Q+f3jTE56L/C5T/Q/WLgshP8e+6/h7XUNE21hSKzbNMOsD27ykYvmuGaaVb4emI9ig9CCWnsfilaP0dOyTPSHBR8UARDjVWu3/c4AFUzT1KsAg45LcoYkdEL1NQ8tVY0X2A2NOklx0hoaVpByCblKBtPHeax0Wl8VD6V3A7AULtDKCQpp8eqCT2/zpB+HM8cPnMMVTePyFdZKt6HoUchcbZnMT1/gp29g3TDBHr/bKicKS2kEh3fyskTVBaiHD4rhw+yshBFBN1/5Lw5bt8VTrd95vXla+GfK/gGSg/WctE5raYiSz7QXBQlJHSS+IqAAAzVYwUP3Y0sUz1lcqIpWKF0RVv446+aZvm6YRLZ8+s2jG3KkcqbDM+cn/dGHx8nsWsXiRtvvJjNvGK57AT/+Klj1AoLdNQOvsxzo3IQgBnHIuF54O9BeBMklpM09r+cfKWAdDvYGAw362cm3YxWlthw6hC1dI5TYgxDtAiUxzCUSEzTeoG6nmGlGYlD0h9jJjHI5+120BSfW44fpGmn+OfCTXzSuBWAcjtyvWQdj4qlEoY1iuohWskh8vVIVFu1PK1Jgd+eQg4qJ1VTZcyawnTfpadb9N1RWmrkjqgFQ4SGSYigMz9POAgRnNvzGMvzkeB/40iF0PHpPLz8XQ/s9jsdkrk8iqpetgO3p106Zy18qA5KTK7mbFSh4RiDuHBXw1dB+tGEq1XOusnMtI3nRdElV7Lgl6cz3PUDW75lZnZuOMF7f/d2skPnu3SErjP9wb8jdfvtF7OZVyyXneC/eteNrGkBjlUnEFk2KfNIqWGT4m2HPofe/hi2l2L3136f3r53cMK/ldDrIgMPzZOUmy2y3TZausKnf+jtfOq2t3BSDlK8hh9CFU06ogeJGRQtxY65N1A4/nre09/EdlsllJJmvw7ALasnMJ0eHx16I5vCKOXySDcqnFJ0fDxVIWl3Ue29USHm1WhsodUuIPKSZl+jE3l60N0n0dqjzHQjMVkIJqlYC5xSm4DNbGKKZWOYoNE40xeLxw6xNvDdH13rsnzvSWofPYQ3f9Zy/3Y4nQ52OkOqUKJ52bp0IrdV6JuEgYLSFzRS0U12YWgEQ7Ho61Gfhi74qgDHphdYVMXZgWwrc1bIrmTBj3lxc9kJfnpkI1VPxelmCMNo5N+TgyLNwSxaN4ktApKT30DVPNzAZLG1yLHVfaRJcdeBJ3nVgQeZyte4StvLSnKMkzIamNusn6AZ6BxN6qTtGf5YJtnQ3sj+41fx62KeLzQcPtv0aTgdPKmRUbtsObqHL5d2sZJOke7USRAJTKkfPUl0rR5PGtFTgu5E7qJVv4iWCWkaK1TSAUKGbL/hEGt2lsl6JCbLSoknxSm+rD9OiZBvpK6loeVQvR4SSc8IaCyvUCNkenCa249FTxDu7Hc3k9HtdTASSTJDQ5e9hS8DjcTQEXoJnb4ZTes/NToRCb4RPZU5gYOvgDd4QqqrgxunAonM2cyrseDHvFi57AT/8P0PEyghGWEAFlLq1GSUiK0uuvi9GUzhY6+/j8BqAoJfLc7ws+Uylp8m71QotVrsXTaY/sg+0rLJqYGFb6s+jyfHOaFqbERlDMFfb/if7NFn6ak1AqeKL6EtAhphnqnkAbYffhxHMzlZnCBfW0MzImsx40SW97y6zF4zap/ZO4ASBJw0xhAK5MV+atkWOWqk810ctcfq0SjZ1KJlsxYEuLiUlSavShynMJ5BAF0zoJJ16LhdakhuQmOnqmE3I5dD7djSd9WX/U4HK5kkUypftpOvTvvwU5s+z+Qdf8LiK6JHqpFwkVq2gGfncQapkauBS6hJ/FCChM7A8lcsjeSgahTEgh/z4uWyE/wtm3by50f+A5NuJG4BOWphJKgb1zbTXX0NFj59z8YfWGiTUmOdukronrXSnnDuRFFDXrrv8zRJ0iCKOnigfCcP4DFLwJ8Wj1At7qNh1CkoXaRfB6CmCjphkg32SaaXjlPotEEo5BsVzGQ0eGoY0b6XrQKziVF032XbyVWS3Raz5nR0LDufoKnZFGQNPdFGaJOsLu+n0HU5lggIZOQn7YoWEgVLjbz3tYxLK+EThhJHSoY0lXfqFgEh++1jeLPf6tLxVrrf4tt3uh3MRJLMUJl2dY3gecrZ80LiulH0kpqo0eumcb8ePQ1eLaJJbpXSGN4gU+ZSUMJVVbyB4PetKHW1sDSSydjCj3nxc9kJfm5dkY36H5LUvglAKHN0BiXYelJDShNbODhOmq7aQQOuw+Pn5DfwvbOhZK3QZm+4jY0HDwGS4/o4AE+kt3Jfu8e7RQdNnGJcD2maNYpKl7qM8nwvGjodaaAIKJkdrj0aZdUsNNYwCscZ1kOGJ74IUtJIZ6hlS4zVl7hzj0uq22JtEJmTnWqzEo6Qb4OmeeilnSAlhWaNk4Om6gjWlA72WgUl8BDAUt6hlfRRpWBMroF+mBs8wSPGEt9M7cGoC8LeWfGuHZjjb//Nz7C6+9B5fel0OpgDC1/KkHb1ecl394LS7hwAQNMc+v0UnZUo6mYnUYTWSqGMP6h2tRxGrjcnkAjAT64BEsVSY8GPuSS47AS/2e+RDw8iwigsLJBZPDmEh09zYBFnRJdOJ0dH6ZNVBVYgyPnTqP7ZgbftmYf4Wv42Pjr2VkByUkRunflGBgJIp3yEq3CDqXBXeQUVyWNpG62/xp50ltagkEPGDNm0/wESrs/40knMjMvU9o8ykn4C3fNoJzNUc0WmTi0yVQlIdZr0TRPpWDhtjTWK5FqR2yGROoqiTVJu91iyNWyzS9H0WVXqWL1VlEHKhtWCQ9+IjnWbPEZXLiLCPl9O7uegdQIAd+6sH3/u0SeouyucePyxM8uklGct/FI0hnG5+fGXfvt3qD4Zpb9WdQfPN1nTowidKU6SdpusFMsEegcpYYnoRiwH2TTNRAeR1lAsjUTirLEQC37Mi5XLTvDDtWNohOhB5FPtB0UgR5WAvohmASZFj04nTweHjAaBZ3PK2U4SHYHAFz7XJbJIAStmGRB8TW7lc6WbOHoksgB39U/QyWQxemWGMtGj/ULO4O8zq/iKR1ON4o0N0yBTm+e/f+xTjK7MYyQ9zIyL56sk3JBmOkcjU+D64iF+8JcL2L0OnmUSPvQ29n1+M4GqY9ei+QGiuIqipBnpBbRNk8D0GE616AuPlK6h9qMbQ2Ab3LS2E4AUx+lKnTZ9Hknu5pAdpYI4d+B24Uhk5S6eOHhmmef0kWE4cOlElu2+r61QXRhM8DpQpbHau7An7yLTe/hhXD06d5rWx/cN1qxI8JOux/pgjeVCmVDrID2VphhY8YPU96bukrimjLk5j2EYGIaBoiiXRbWrmMuTy07wc0MzPNjaQSAjwTvY3IAmsyygoFQjQbQVF983kUJi6g5IhTlvlLIukMKjp/W4Yd3NmGE0sCrw+WjrZfzC8o+jm5ErpCC6dEemoVcgkYgG7wpKlzlrnDFZo6VEN5y1TCSWi90jCEUDPUQI8D2VQgsWypOEisr63ixZr47hOvimSb91I6eI3EhOpQ6AzHSQis5QPxqfaLhbSFuRAI/lApR+F9cw+K19P8q7ZieRSDquwkeca7gbn8CYp6P2mDdWzhf8Vp1/eOOPMntOvpzTs2zNZJJ0cYjATHLkEcE3P3+IwAtZ+qt/z4lPPn/FVy4GbnOFIOkjQw1Nd/E9k1qqgO1Jiu0xpjjOkRT4Wh/pqGfOKUFk4SuaRf77NpJ5aZQeIJlMYlnWZV0dLObS5rITfIwkK/2XEDCJoM+onSOPzjIStxaZZlkjOLO6Yp9OxSoY1hW09QqHCge57qqb0Qc++RGWUAnxAh01L9AF5HyVteF19PtpFCVEF5KC6BIoGiNqk1WKhMC9M7cA0Pbr6EqGWhB1udoWFFstvEHK5A29OXKBj+pFN5nlZJrKSBQeqPQ88GxMu40lK2Q8Z7DNLazs+z6S0qRqlDFlA81MMnxoN/7jH0RqGlo/Ora/kyZrzTuxgpD99nGcU03279uHlJIDtsXs+HoOpc76oZ1BLnxfaHzqM5+hP3VN1K65Cqunmlxnf5xS9TMX9txdRGQY0s1WQAEZmAgh8XyDejpHwQnpdfKMaU/iq2pk9fcVHCVy04mBS0cY52fFTCSu7Dw6MS9+LjvB77TmyYt1uGELhSq2lsMgySqSR0vR5Kf1+bMDlmouiUAikBQ1QW/ap1fqk5oqootIfLcmNUIE//n238bpG+SzNmP9W5hTdJa6WfTOMMJUKCodQFLQXHrhOl6/88OMFF5KUssBkNaytL3ote+pJOpPnmnHuu4cG9mBGkY3oFTy80znI8tRC1zUwCRhdRBWiDZIlPbo1D58J81omCe9/VG2v/Ug2VQet34q2oa0STsBw0qd7Uodp/JqNp341xwyTiI7Pp/68D9y+MBRKnp0Y2mq6pn29LsdQlXjs994gCeffJKsH10qTsdn6dAimnCRzqUbqhnUargbfAghCKLj932TejpHyZWs9g1mtBMALBnDKH0Bg+5RB4Kv2ecX2i4Wi2Sz56cOiIl5MXHZCb7vCkascZz6ERTRIpBFBBrt0GHNzpHwehSHTsdMSxLlEgVNUNLhq7nd3H38nxhODCMUgakEKDLg5ukZJApmNYBWSGYkwdt+8xYWXY/j3QLrv/5fkAULSwSkhEvKkIyGedYpI/xQRyVvRIOeWS0NXjT4W7NGSHUiV1DC6VPwGyznX4Ux8A9b9gEsuwtSYoo+oQhIWl3qpTJtWcfyXBZyfY5kDjCa7GKUqyzZY+S2niRsRlkes55KxulhGavcqB9ih7nI/e4kC4OaTkNhliNPHqM6GHBsG2fznzidDl6+jOf5/PiP/zgjyTxHC49SDapUjpwAQPUj/3fV8+n4Z5+aLgX8SgVvSiL64PvRcfueQTOdoeBJTjg+Y8yjhj4L+ihKX2IqUb/Zg3NkJ8vnbfMNb3gD73rXuy7qccTEfC9cdoJv9SwsLQ/LhxC0CIh86LYfRZhknQ7p0cgysyyLRDnFzUmNmxI6DcvlZ6/7WX7rJb8FwJtecgN3TllMbd8IwPLfboJA4qU15mT0lPBQaZb/PvJBShuiCI6NagUhYDTM81/yRfKLXXJaNNBrKwmUQaTQanaMLWokNKVWGwHkZ1fwB2bkslFgzTRJdlvoiYC62kY1WzimwBMB2W6TmUqZ8aMfx1z3Zf6P/Cn+k/xtMusPQCJ6Skh0+yTCPpgnkSi8KxyMK/g2AQGa7rN27D7qg0lDXcs6E4vfa7Xw8kPM5HVGkoLAsvnClr/micL9NE+eIkRgysjt8/ZHj/Afjyxc8HP5fOKvVggTQACBFw2y+r5JI5mk6Ej2OlU0AoZ7y8yrE2g9SUKJfi6JgYWfSY2ct03TNLHt83PFxMS8mLjsBF9NKSzf/59YVA4S0ub0IabDKDol67fJDUWWWTKZIjeaRBcCTQju2PBWfvzqH2ddNso1/wtvupm//ulXM1KOHtN3l6KMl1Vb4Wg38qOvmxnlc/n72bo+uilsUaMby1iyTG9PhaDmkFYGOe7ROJKKttE0TdZpUVx7qTMoml2p0vRsVN9jTi8zZ5RJd5okNYNDjoJQQkwzGkxdt7hCM1Xmxt4claFTPCp20VWSzKmTtF8T4CRK2INavliPYEuN67wiN2qnUHsl5rUKRVJ83n6EVjI6vp6ZoLUaTQw7OjuL1HRuqnwUHvlbFqw6AG2jgeE1+DN+gMfEJuqez75Onz2r33s2zhcSv7JKOKhBEAaR4DuBScc0SPVD6kEHr6MxGcwyq0yh9CUJNbqW7MHDTCkz+YK0PSbm2XLZCb7IpKE+z33XSVzORqKUrKjKVSbskM1G1ngymaQwmj6zzug15z+in6acjgbiHhrZhqLAqiF4st1DABszYwCM5cYoFArYwqdUKpEdzuPNRRZwXkkxmdxKWStilqOsgB1llHHlOEogGW9F7UyNhriFFKluiwVjiDlzmHS7gdbv8WAnEqWi6ZMNE6j9FRaLQzTeCN/wX0kgoieDxyo307kz5NDOq8kOBD/t9LF1WFRX2aEto/spThpLbOpNcURbopkeCL6VYOXgEaSUHJlfROn3mJYryLVjzIooHUPbrGEpTZYZYk3J8Hg9Gk9YbJ3Nnf90nDjxpzz62I9823UuBm6/h+f0CSoVpAUeGlJGP4OmjPrB7EtE6NKrmlyrPExD5PjY8Fuxn+LSGclMvCDHEBPzbLnsBL+xdJKEC98c69FXT8eJ+5Qm9gOQVtpYVpFEIhFFVRQsQiQ+kvLE09ciHRoIft1MMVJIgCr4QqXJuKVzffkaynaZ8dQ4IyPRI/709DR6OfKL62NJFDvBbeU3YahJbhneToDChuwUCXuV99/T5NUn9tGVJjmvRT+bJdVpMWcMs2yVSHcaqL29rA3GmXfqKe5wtyA9gVQUFjaV+Jr3atbVe6T6XfaE1yMVkK8+gtjVZ+jqNa5PeyhawJod5eEJQo1jxjyWNLm6NkMrGR13z0py8tAhbvzfP8E+t4/dXuTL12zl8eUOS2KRt629koLUQa8Dgg4Jdi9GTzQdoVCr1Z7xvNQbu2k2n3zGzy8Wd//B73DPX/xJ5NKxoavYMBjTOB12qXZ9NF/Sr5m8JPFF7pRf5B9m3kFjOCreYQ1SaI+nU0+7j5iYFyuXneAb2Tz3/ac3Mqs3UQZCrVLD3Cp4x6F7uS14FF3P8vKXv5wbb7wRoSo0VMGaoaCoT98dpqaST0SRHFtHI3E81O2z0ba4Y+IO7n3nvST0BKOjUQqHmZkZtEHFH2tbES0zqPJjCO4or+fT+b/ilRvfhp+BkXpAVlSokyTnNjEFpLpNTqQmcHSLdLvBeNBDSghCEHYVy5eMr0WW9e7ezRxNlHnDXI+JlQqn8uOsHp2mNHqE9nt8xm9d4a5tDZTUMi0jEmSphBw25wFY39kZFU+Rkr6VYO+JR3j92H2sZU8xMnoKq3iSNbXNhJPix1beyss7N+DqkSuqg82D1cFELkPl6NGjfPqJRT6391uTszn9JYKgfUGLrD8bmqvL1JeX8CrLVIICUhUIERIEKj09OmdB3yXhavRrUXqM9/EXbGgcZ34s8s8bgUARAWUrnmAVc2lx2Ql+Kpmnvq6IpmgUxiIfq0INOzPFu4qfYuu2/eh6nl27drFhwwYAClcPMXbDyLfbLOV0JNq7JnJnlm1InB9zvWXLFiYmJtiwYQPmuixKUiNxdQlrOHIbqWkDW1X4o+vu4Kp0Gjc/wssz/5NC7iFaJCj5NcxejVSnSdOKbiylbpWNWpdEoNLwFNrqcU7095HrR5E4d+tvRQtCXr8YMj1fp2taPFh/FX9wKo/2WxbHPxiFosrCIUI3GqweES5HlD4+AVKNBpRznQZdK0FfnOCutM+G4iz5zQNhV+Ht9bsAmOqP4GmR+6apJjkwGMB0FZMDR47y3+85xJ995ei39F/fWUJKnzB0vv0JfJ5xul36nTZuc5nPn3wZpuqCCPB9k74WnU/Xa5N2Dfpr0Tk3cPl3D/4RphtZ9noIpvCwzgljjYm5FLjsBN8NXD517FO8fPLlJMejmapCNLCsCRrvCehfC5p2vutm/F1bGX3Txm+73XImEoNrx7OMD/Klr3+K4JfLZX7sx36MRCKBXk4w9mu3og8nSa0bVMU652YBoBavYVviiwTpPk1shoMK441j5Hr1M+vknQbrjRZWT2M1EDhDJ3nEe5zxwhEM6dDRU9x6Yp5yaLKxFlnWi9kyoyvXcoSNWEuSTtVkOL1G6A4KSYs+Y+3thOoq7UTklii16niGSduMnhzSVgO7GM1MNttbmXSHCboVNnVGCEQ0aukEFqsMU/CjG8O+2Tnmau1vKZgeBF18vzF4/d0VX3m+cLtd+u0WbmeVU80xDM1BKD6eZ+Ib0eC68JtkeyZu/WzETabZ5v2PtjAXulhugK68sE8qMTHPhstO8Kv9Kpvzm3nrpreijUcDqqrRx7aiATZNyyLE937Ypy38baOZM0K/MfHdFas2t6wHIHHttvOWj6y7k2ZKo1oap0kSO3RIdgNK/bO+cN1zGDdblGoalVCgmj71hEFpuspQGE18evmeqHDKNcunsJ2QI0WTye4Eh3PrSXdatE6kKSZbuHodAEv00cIUWXmIxiCMsNiNBo47ucjiz9tdAldFW5liw8odHBWHeKJ5N4GuERinLVuB6bnctLQbVfq0gLTfYq0dCf6JE3/KwUO/geMsnzke33/hBD/wPXzPxem08XpVvMBAERKBi+8b+EYSLQgIRRvb05G+gdOL+qfqpXhXLeS+J31cwLFi/33MpcdlJ/gjyRH+8jV/ye3jt6MMjWIrXya53sOyI8HX9dyz2u4rt5V56/Xj5JMG6+1BOoTEdzeN3hhPkbiujLXl/JmZE6PX883ry6y/6Y00SZCUDmWvSXmQox0p8WSIIuCORh+tH6ApIdeax8iOt9nonKDkVtk+H6U1TjlNJio+tXSU/3+2MEq675JevQ5EiFE8jiYVhAhoBWl05RQV28R0etS1KHGaOhjHKGkOd58ssPuJf4sVpNiz9lF+/c6H+WjhC/SMs5bvvzn2N/z50f/Cbx75YzxTZUxp0HJ8HD9gdfULVFbvpd9fPLO+/wJa+E43emKRrksQtPFldONSVBffM+jpFrbr4GpdTF9FKiqdbpRMreFlWQBUBE0kmqG/UIcRE/OsuewE/1xEapii8QdYk+oZC//ZCv7rdo7y3955LQBvGMrxhqEsY+Z396NXDJXCu7agZs6/QWhamttu+Wc2bfhhHNUmS5eNYoGiUwcg2W3TSRj0A5UfsU/x/pXILTI5U0FRJW974gBv/8oiR7VojCDZ7DO10qNrZejqJm66QNY32R6+GekmyBfmKcnBJCvfxlWXqSQMkt0mS9YgU6YWHVNRk9xntTk68hG+lN6NvbyAr0pOWgt0tLOC/7rlr0IIV7cPoRaTLIWRu6zacWlXD9HvLZ4n+MELaOG7vShqy/ADQhtCFNyWhmZ4+J5F1zCw3T6O2kXzJegGnW4eGYLqGayKyI3TBUz9sv7pxFymXN5XrZGAd/4N7Ho/1nMU/HO5s5DmL69ah3IBsiImEtMoigl2ioRw2KacIjlI2pbuNMhlXO5d2sg31ib4X3Ykpv31AV5HZfnYSxmqjlLVo3YUvAQzlWMALGaL6HqIvPWXMBSbylKGfH6BwiBPvyIDPpHZzGrCwu5VUcJIiAMjunnoAjZ2ynw1+zCfGfonIIoLPWXO0/UTCD9y2/xZ6Z3MtQvooUczlaKhWEgky/Uaod4HRdLrHT9zvC+kS8fpRoPNlhcQ2ICE2pEsmu4R+hYtXcP2HByli+KH+IbB/Nx2vI+Ok5AJfDmobYtkJvXdufNiYl5MXN6CD7D9TZAZxT7t0hkkMnuxkc7lANghjmMn0+ieQ7rdYHLU5kCzzP0r67hfHYQFapLGiTQWkQ/ftyMhEmaaHcrDaL5kMVtka1JlJFVgf+sQ9RNZdN3FzqygSEFGOHzDmqKeTGI6Vabb0c3ENc9mzLxeCbGERGqrLEeeDVa0Oj3HQOlH1nKm3+Ynbv19XnvDX/CFzDZqr1yHdVWCvSf34gQ6fd+g2zt5ZptPdens//pX+Iufef9FKZ/o9rp86dbX8rVdL6Vjm5iKS/1YGkUNUfwELSMSfI02MvDxDQPPszAOaXgiSbYdRR+FBIwm46yYMZcel7/gD9C0NLY9RSKx7oVuytMyMRqFkBoiIDkywTV7H2Lr0SfZuGUbUgmRSkDGCOgHkTVfP57BFkuAxFKXCGWAMNPkNz3J+JrPcrbAZldS913WZr9OcylDGArU4hHSWGREn8eyJn0rQarX4fXVrQD0jQR9L3LrJBIOBU3iyICFYnSpSAFVEaA4PZCSbK/JvuIML1+pcFXrIBO1NnomwZ4n7uFv9r6H//nYj9NrzGEY0ezmwD9/Ru7s3idori7Tbdaf9z52e10Obb2KA1dto2PZFN01/G4USy+9BG1Dx3Yd0k4LGUrGjEH9YdfFURI0Oifp+E0cEZI04pDMmEuPK0bwAW668VNMT//kC92Mp2X99NkIHmt0Ay974J/ZenQPW9bfTE5zGLE7FA3JaiDo+IL2QoK8cpBy+lGEG9D3u/STJT7SupWxiksllaNq+DzoP8T0/JME2DQaw4SFk+TCJDnhoFfuB2CoI7mhnUT1e3T1JLN+ikCCTDoUtJC2EJwaMjGDSOTqegfF9xCBT0PLEwrB6+ZN7mjuZsOiRzVpgi/Yt7aF1W6Jfn2FZCIKe32qhV9bjCaA9ZrN572Pm50uTTNHPZunbdtM1OdR7ejJohfmCRWFhOeQbUVPL7nBfAPTcQiEyWLvGJ+a/V+8pVTlh26Zed7bGxNzobmiBF/TkijKi3N2ZCp/duJXdvoqABzTplDYwdar51h/Q5UhTfL5psYnqgZIQd7Yy/aZP8fvqXTVHgdGd/Lw0nXcVPeRQrA3r5JL7qc7biFVnfv7L+WnU39AkJOklR79fOSHH+7BVjmH7nfp6ClkX6camuimQ1GVVBXB8lDAzrSDQNLSW6ihC77Hcjp6YtrcEmyppcm0dUJFEHQ30PLStL0k/VaXef0adotbCPzWecddW4gEv9uon7e8Xq/zoQ99CMe5cBO1ZnvR8dbVHPVEmmynSWokEvcWg4ymroMRBfNwPBedE9NxCJWzFv3tRZedE3He+5hLj+ck+EKIghDiC0KIw4P/+WdYLxBCPDb4u/u57PNyRdhR10k9wei6HQC46Ry6nkXeWsC4ZTvDRoEnexq7+yq+qrIqsph9H3yBYtTYicvHEz3e01EwfJ8jhSzXsxvvzjaGFDyk34gjLB5br6AA1y28GYBRR6DhoPtdumqKa+oruJ5BWnMpVQ3WywwdLWBUDympkpbRBEMQAkvpUZKeZKwnma4MU2hFs1H7wQxCRpOznL7CB7vX8xf85HkWvtPt0qlHcw66zcZ5/XHy5EkOHjzI8vIyF4qTvehmI4XCcrqI4bsYqSiV9LKIxjBs10ESGQWqFSBkiO55BOrZAXrdjAdsYy5NnquF/8vAvVLKTcC9g/dPR09Kee3g7/uf4z4vTwaCL0qbGM7l8RUVmY2WrV//c0xNvZ+pVORnR0TW/woZUtXIAg7MJgklg94rs6f8WSYbCxwvjDGtz5Pb1sAzLE7ko5nH92dnEIpPI22ADJl0TaoyjRJ0aCtpar6K6hgUVcHX9v8rbjAia3ZIhWEjpG00qKWzBIrCYjrPplbAQVoM9cYotKNZuE07wdSgSlalkeHJZZU2aVre2cLntcV52mqS/akt32Lh9wYhlN1B7Pz3ytyBKu3aoEbvR34Yvv5HnOpXz3xezebQXRc1MWjjoEC57TnIQcoEoYHmewgg0MSZWrWx4MdcqjxXwX8T8DeD138DvPk5bu/KxRq4CEpbUBSFfnmM3NQMAONj76I89Bo2l29BIFFCBc9KM6uW6buRNVob+gYn+w9x6Mb/SLX0GGPVNZp2in3mesaW+hydmMHTdKbX9rAgxgkmO7QSglS3zZCSY1j/e4RSo0WaSmsGvZIlqQbMJ4p8sxPdeMpGwLAmaWkdjhfGcVGYS9uMtgLuQcVScpQcid3vU0kLdriRcB7aPUk9EYV7zjtnL7na4jx70tu5Z+jlrNXO9+GfFvzT/78XwiDkU3/8BI9+ISr1yMn74diXmTvHnde2k6iBpDew7LsDMU+4/SiZHBBKHW0QPeTqAeqgFKQe162NuUR5roI/LKU8PatmCRh+hvUsIcRuIcQDQog3P9PGhBA/MVhv9+rqpVsv9VmhqHD9D8POtwPwH/7gf/D//cS/PG+V0ZFbyKqSdJiAZBrfU9iTiKJ7+sNPMjP+RzQDMPUOY7Votu4nS3cwttzneHkCzff5yb/5IKoMOD46QjOpk27VWXZNZhMuKpHgh80R/Mq1ALzT+zjOkoJAkvXTlEOdUEAiuYK0JI6mUKx3ONWbA2BECxlfXWIlEbDFUzAkBNeb/Kv5D/PBJ/8djy2eTUlQXZino0WWdaV+vm//uVj4rWqfwA/pNgc5fZw2NOZYMZMUZXRddQd5c1JGIopeUjuoQYjpezCYVOX5Fqob3Qj6podhRWGxZiJJTMylyHcUfCHEPUKIPU/z96Zz15NR3ttnyig1LaXcBfwA8N+FEBuebiUp5Z9LKXdJKXcNDQ19r8dy6fP9/xM2vwYAVdNRlPND/zKZbUzqUEZHy2Yxeg6PJaJsmFrCR0t06fXzmGaHXK9Nst/l/qHr0TzJyaFxJldm0TyH65tz7DZ20UrbZDot7m0t8aUN1zLWy9IXCfp9hW49GjieVBYoV7ukjAJ/5v4cHScaX3hH+yOUcpHLZNPifm5Y+gRdv8WQssZIZZlGSqChsMVVaU7leX3lq7ys+k1OLSdZm2+z96vz1Bbn6dlRSulq43xhfybBD6XkA/MVOsEz19CtL/c4Nqwx33ch8FntjbBWcakZGWY4jiV79PRIvDOqie+b+LpKqusgpEBNKAhF4rhJdD96KuibAaliFFpqpZ++bkJMzIud7xiyIqV85TN9JoRYFkKMSikXhRCjwMozbGN+8P+YEOLLwHXAt+bQjfm2KIrBe+xJSNV5sp1C9Hp0xSaS6iqqLukbKl6oY5pdBDBRW2V/eROPpLbRthLsXDvFfMHi5tk+D101DTZsbB/h9s4yv7n753nJjj08CayJkKHBTNogr3Fy8mUcH76ZY8KgKpLQ2MucJjhhb0ALJbJ7hNlSi5XeEmOJSVR3nlbaxhFVbvYVHhXDbG8fRSUk1e/w2L2zHLh/kWSqQUfdAkC1fb6AP5Pg72n3+JVDc6RVhbePFJ62n+rLXT56e5rZlYAf9Tp8pvYrJI1ZKkaBa3iIZTlKR02hoGBqAX3fYM3OUWj3EVJBTapkptq0fRNPK3Bk/ZvopSSmF1n2mh7n0Ym5NHmuLp27gfcOXr8X+MenriCEyAshzMHrEnA7sO857veK5fprfpVkoobLPIbvIupduuk8aiDpWwrC6qKbDhAyWVumpyb4/Zn3g5RMrDTRA5WxtQBrkJc+57bIhBl2eXvYoZwAoCFUDpY+Sbtn89+u/Q/s23o7I62H2XVkL8cyG8iT56SX4qC9jvXtkC9sOcBEc5W1cAxDtRhyIVRVqrk2Oc8i0wuw5CAEVFZZOhFF5rRqRVqD0oyNnkBKiQyiKJ9nEvyVTtTuhdozu3pWVjq87uEO1pqL326irdVYcTK4iklZLlP2V2nqOfLmCKHexfdM5tLDlOt9kApKQmPm1XOEoUqgZjk19WpIKRiDzKKablyAMxkTc/F5roL/e8CrhBCHgVcO3iOE2CWE+D+DdbYBu4UQjwNfAn5PShkL/rNkfPoOtm75beSgALqxPE8/W8LwEywO2yiahxBgqi2mG1GRlK8Ub2S4WeX2g4dwdQu9tcyuajSLdNhYpZ7YxM/c/yEyA3+159ustqoc6W2moRd4w70f4zVfe4QtlTkksGHhpdj7JlkoFNnUCnC0kC1zJssYhFKyyR345fMgUFhXPZs2YSxcpbEcibmvbqF3urygq9LbX2XhNx8g7HrPKPjLlej94lr0+erqKsFT3DvzKx2uPumSbQa0lhts3/83JJcfBCDn1yg7FepKkZI1Rqh3aARZanaOUsMDqeD0UlRP3AgI/MFAr55VMeyonoBmxIIfc2nynARfSrkmpXyFlHKTlPKVUsrqYPluKeWPDV7fL6XcKaW8ZvD/Ly9Ew69kxsbeTrEczcy12w3I5LCGriHQQO9Fbo7s2h6yap2hbiTsM2tLTM0dZsdwA716infOSgzpUEpV6CaShOkcKpG1XRvfyvaVKQ6xGYDJxRNY5jDD1TUmayt8Y8cr8EWRum0x0m3w6sVdlJtFPAmLYZ+dfpQGupaKhH6sJumoFqcSZaa9BWQgGNtk0NHORrv0sWh+8T5ad/8SzqnKM0bprHZdRMdj2XNptVr86Z/+KY8++uh568zXou8kHEllto7pNqinoktddx0S7Q4NcmQKOUK9ywJRnqViM0RIgefbLJy4PjqGQc4cO2eeGbRVY8GPuUS5ombaXk5MTr38zOvQDtCtSGSL6Z0A2JkeiWSL8WpUBWt6bQm72+dV8hFCt8atK2n+wv8hRvQFGvkn6WWuQdWjyU/dRBpndDOHzXXk5RpmIolmBVw1/WVuau+mns7y4LV3AJDrLLN5VuLY0f6l9gQb5RCG69IxVHzVId20WUjnWUzm2ODMIgEtu0RLnp2E1Vdt+gf2IHtrdB/d84wW/tFqB+NrKxxd7rCysoKUkpMnzyZn89yAlhdZ/OleSPXAPALJ4tAwQobIboC61kUKBb+cRGpdFkVUKKfQESgohELSFdHNqp7X8bQWyXwKIzGw8GMffswlSiz4lyi53NlJzZ62QqcTpUXecm10I8htaGKaXa4+dYzXH/4IxW4DK+hzQM+yyT+IQEHpJPHTLoHW4+FtZRJmFFoZtBqIMGRZ38A6jpLYKLnu6k9jbl/jjeN/R8Lv8uhVtwDwsocPkz/8IF07iqpaS3wNRSiUWy1aZoKu3aXfG6NmWTTVJFPOEvNWh78/tURLnJ0I5SgW3lr0NNI7GOXmNwyDXq9HGIZn1jtVjQakq12XSiVaf3Y2cl2x/1M0T5wV/0wvZO3kAhI4ObKOQriG2QpQVqKbyHKuh6I7LCsjqIFHum+gBgIJeAPBT6xLUC89Si6ZO2Pha0Ychx9zaRIL/iVKMX9W8LPl9XQ6+wGFsaGb8HyN9HgHzeiR8EJG1hZJ0MNKe3BYZ4N5nFD6iE6OMaXNUDuLVHzSioMd9nB0neKxQ6wZRdZzlO1XfRlN6/O3iz9K2DO4S7kHqSiMdkOSrQUyqwu0UyO4Sp+v5vYSyh5jvZBaMk2YrNIOymT2vIeNe38cgIp9nAfcGXr2YLJTCI5i4NeiG0Dv6OHoGNUOUkr6/f6ZY620osHflhtQqawyPrGXTneB9qGvwIf/BfNf+49YXhQdrIbQrzZ59Nqf4/jkFspima0Ly/idaJLXfDqK/V/WyoysLYNiQqiBACmim0zZidbJJ/KkiyVUXT/jy4+JudSIBf8SpZBOEwzi9Cem72Lrlt9m3cxPYxhpqk4BoUBPRsKkOiVSdNEzPuZBgZkOgDp6bwjTrrNZHeN9zktJGT5pv4mfTJI0JAjBOnkUv5/m8Cen2VfdzNrBddzeuQ+A0f4a7OzzyA03sZopI40G9yUNQrmPDX2TajpHIjGLBiTsG9ESE0ipUlBmkQjqeorR3jIznUP0hQrdSIiDxchiL/aiyN1z3TqN7iBc1A1Yrh9l/fpHGBk+Sv+LvwvA8tpDpHqSthXdTESnTzM9xVrGpCyWyS3X6VnRZb+YjCJ+VvUSk8vRvjV5/k/C2bMfT3gUkgW2veSlvO+//W/MRCz4MZcmseBfouR0ja4VCU+hWGR8/N2sX/9zALTdKE2Dr0eDkSpJknTRhkJEIDAyPkJrkfc2ge6w3kjhhQJhdMl4ffSUTWVLNDdu+6MvY939v0bYynD93kconVih848Kb/E/yu3qhzikhezfNIlv5Ejqa7RUhQPmKTb0DXxNI51cYNwIUVQdIRTacpyNInIdVREkwh770psRYR/6kU9fri0AUGSQWO0cwe91BxE/TkilH41PFJIrlJa+AcCQV8f2JEdHIj+72vdwDJOWrTPEMkoLblwMsUOHVdPEQ6NmZCkOhhP08OxPQgL69YJ7xu8hb+VRVJVs+Zkmk8fEvPiJBf8SJakq9Owo/HGocH5x9F4QReoUyjecWWYpPcyCi1AluhniGm30XuR39+0VfvYanVDvkkOlq6fYM/06hnsB4rFHSIVDbM3eStbt0mhr+J7N6xdb3Jz+CvusERSpgJJiRJvHCCV/mW0w0Y1cIobWZ0YLCGX0fj7YweaB4Hu4nJ6cbYYdhNMCBPQa6K57RvA7nQ612gMEQYA/EHzhBDhK5G4pplbpo/Fl22Lcj/ZzZDQSfMUX1JPRZV5mmXlriNvqZYb8DjVRZJlRpFBI96OUDwpnZzdLQj5a+yhdvUvOzD2X0xUT86IgFvxLFCEEbiJF10pQTNjnfSb1dfR9k6nJl3Am24XqYyR99OSg4IddPSP4c+E3kV4U159xPBrWKPuzaTbPHmF69/0487vZnLmBca/HYi9N3ywzdeQuBIKbR76MgkI7d5yiPs+reg4HSt9kqBmJdT8skjMSnHSiyJmaN8NmJXLZJOjQV6IQx6Ggh3TakI0yemYbLYrUAWi1H+WRR/8FT5z8GiKQCAHCCdGsyCXjWy6f1TewzzQohg4KHnMlDUcDIQNqyUjEyyzz8ZvfiFW+mqLTY40i80T7S3nRU1FJng251EKJJqI4/KwV57+PufSJBf8Spj42w6mx9eT18zNkVHgLv3b/r7CuXMIa+LK7qoFlBBipSHjd9BzGQPAXtcfJtB4CwKzPs2oKTiVVNtcfB2B2Noq8uSa9A1PN8vr02yi6ZcLlnWjDdXQpcKxVTGWNn2p5JBu7aHb3YwaSA8otSBlyyAEZ+Lj+GKOiRoY2iVDS1iLLetzrAZL+0DQAuUafv/Begy8Fve4JAJ6YjQZzRw0N4YXoRhS6KRXB57JjzKs6CqCbFZq2Qs8QCDgTg19mmScnd2Hnpsl0WlQpsTAQ/GIz6peiOOufT4YhP3v9z7I+u560nr4g5ywm5oUkFvxLmLk7Xsc/vfrd5LTzk6xNFPIEYpjRrEUqFeVuXzWHUYXEHo6sYi93CiWwET0DI9Vn+9ohANqAOyj2ceNgQvTx5ASHnRXWp6/hNePvI68nWPUD5o/ejmfCWDaqWjUfZnGSPj+ZOMXy8BOM911m8+tx1w7Tl+C6HRQZJSC7SpzEQSfvVnnD8mcpu5F410ZsUHXURo+/Dl7LUpjB9fYAcGQhcgVtG8x+TWgtTsppPDREukuvcSftoADpNRCCQAkJhcqatYYZOGRocsvxJopQsWprNMgyywyZbgdjMFk3r50V9qRQed9V7+OTb/rkmVz4MTGXMrHgX8JkNJWspqIp54vR+26f4Qu/cCeaqlAsTgHglKKsmta1fVxVoT10gLtzn0a2FFKJHmU3qiy1ZJfObOd2/1Fmb/xxvIlX0ZQ+fujR8buseZIhTaUblvC6OYrjJzD7Q9Qme8xuN5nccILJm77OWOIbfHMIHln/DVSvSTcISQ7yz1+lnKIldG6vPcD67gkyA8HXbvhnRKZItl7hHQufZM3TCRuz5P9C45oPP8D7936K1x78Cqbvss/czr9X/htflXdR0jw2zP0we7qvRbOj+HyNPqFqUEv0KXqrhE6CV51q4UgXsbqCFAr7uIpSq3bmmJPirEsnPZhgFYt9zOVCLPiXMDldpah/a8JTU1MppyPLPpOJfM9jG6K0xqleQN2wQREYpaPg6JhpD1MfhCgmogHglN9hyK9THl3PtJXkOjPNFxY/wIPOpxjyI4HclHRon7iJxNAxNm39ClMbnqCxOMSek7fwvx7+UV55MEpF/Du3vJXsXR+gnuiQ0xK0FJtNYpFid4mCVwfACqJYe5kN8YcVxpQUPzPyA2T6IakH1rAfVRidW+ONx77OVY98lC3KIv/PiGoHLMkxSl5kmTeDMraxSsEJSbsNGsk0K8UyxWAF38mwwS+y7K6RGpRUbIkMBa+GFD4gsTg7izZpxikUYi4vYsG/hPnFmRF+f8vEt10nm40E/6r12/BFdLqX9WjSVi6/gERAPiTIRYLfsSKfeiqIQiFLosGkoRLIJ/mXGz9NZ/1+Gsc+D8C4ozG5XAcgP/0wjYUJ9u69i5pTYsQxWFrK8eqHH2aZUT44/gYat/8PDEXnsL2DdWKeHfUn8QbWszKodRtkoDddI52ZRFU0hgOT5EMSd33I//d9/5q3/8jv8sTMZh59xS6mOEkuqNMIc+T70ZNJIxglq6zw9/d32RCG/Mmbb6GTSPPS3j34/QQ5kaLjtcl3O2f6qBhWkVoDFYl+TsbwhBWXMoy5vIgF/xJmW8rm9vy3H0y8/vrrecc73sH15SGqZjQgOWeNIiVksytgBKDCuBESBAqeOUgfEEbRPKZaI6MK+kGUbfK+VJODYYXK8kMs6IcYt3dT3f8anIPXs/5Il8Cw6a4Nkw+61BcCRg78LTc+eQ8PKzfxudQdVJQq88ZVWN06Q+4aT0xH++koK0gVpA3udBMlPRIdY7+DuQTJ7DvJ9YuUwzV+7V/9IplOm3/LbzPqLdPSMmidaP1WUKbsO9iB5PfvmObUcJbvu+fDXKs8iuirqKh0vQbynJxsQ/4qrnKKIdHHDbpIETn0E/b50U8xMZc6seBf5iQSCXbs2IGmCCqDBGdObobA1VCUEGlElr053IbuYPC37THIWoxKnUBKTLGPqlA5bMOByWHEQ3/N3m5A2wqY7B1gfW8/ttGlbVroQUBd0/j6+CY+dNMEx40vMV09zEeVH+B/b+oy39vEk2tDuJrB7Fi0T0c2CVMCswbeCCjpqBLW5n6fUFEwR2/jLkwKaY9mOs3Pf+gvyQV1Sm6PZWcEpxklQOuHGUo9k1+5xuZgKclbv3yALcf3odk+sh/tq+WuoUkVa1CvdiRYoucssUM0aXpVdG0wKJyMSxnGXF7Egn8F4RQj98/w9NWEQSRqqUFlK1kI0JuDJGWmSk2JBlcVUWPV61O26rRlJJhPrLcxfI/+EjRUhxnvOCnHZV92M0etJK4QrAuO8O7SP1Ho58FaYvrIYW6W9/PJmW08nBhivpdlXaHFroU3gLBRpUGQCSl3e7hiAiUVWezlUGN5dDPCSHEzGqVsZH1vmD+FugiZ0KatlHGboyACJAqBO8H9QxrveOwIm2ZXEIpEs0LUfmSxt7wVkqpNqt/H9FzSoknY97GsPC2vStqI1kuk41DMmMuLWPCvIPIbXkkgBDs2vYpARP7psA8MQhLVtiAZBqArCC/AC1XaYY017wkyuoM5WG+uOEg/vHYvcyoMu2tMOMuMLq/wkgfvIRn4CEvjJSce570H+kjFZx1z/DR/yLXNJ/innVv42m2v5rWZw6xvbEQoSQRJwrTEcgK8xXWIQc1Z3cqxNH47AFtRMJICLZQU2xWkDVb2UdqGhuPkcRNR7p1j+lYAJitVkF1UK7LkDS9FKCU9b4UpNUup2WC4WUVTPEzfQTNStNw1Elo0cJvMxpOtYi4vYsG/gpi55edRf/EomfI22nZkQR9JTyDqkbUvewZjRvTacF06vkk3rBGaUbrijAxISJV6MkppsJZxOKzoZy6ihXAMe5B8zFlMkvqcyoQbuYyW1Q5KX/Kj9U+yfXGWB66+k3uMt6KgIkSSQGiEGcmKV+RAM3KlhP0m2AXE8HZcJAqCqlZkrOdT+wWfsAB5ogybbUuhmV1DF3DAio4t31hGyg5qMvJPWX6Jw2IFz7Yoqile8cQ3eM3eb6IoIQk1Snnc8qqYg8HtxDkpqGNiLgdiwb+SEAKSkR8/SM4A4Jd2IqqD8MOewUzq9ExTSdfXSKpzBMlFQgmWGmArRaRcoGcVOTlSYDY8mxt+RRtCyUazd2978CF6WQvzVctYgUHdaEBNJWd0ufnoEyhhyJ+ufwtO4ii+puMrkjAFf5w08fzI9RSs7kMkCoxqfR4joE3AolKkaB3AHwlJ/z+NoheFc/Ztwfu6d7DVUrg3F4VcmvUKMuzi5wbx9EGBr5t76Y/NYKgJQrWLKkMgpDCYSdvrV9C9yM2VzMeCH3N5EQv+FYqeupq9PYXM0E1nBF/2dLZmIutaNU06gU7aXWA6PEnFSyEEuPoMmjfPA7v+DSeHC9T91JltOk2NpbFo8LRj2XzhJa/lq4dezbr+BDWzRlg30Kw1yp7OVfMH2TeR5rGpA/SNgEB4+GnJEdWl6G2lF3oEtROoik5ZWiyrTU6qPRaNBEPKKVJfT5H6ikLeicI5/TQoCEZ0Qd2I3FWlVh8pO4TpaOzhiOIRCok0LHqmisrguAOFopYhlAFOfw11zx7sbhc9E/vwYy4vYsG/QskmZ/iLisV4ZjOyHlnAsqtx40Dwt6cTdHwdy/BYzxInwyFCBGv2DsCnkunQtCs4XmQFd32NmcMnANBcj3//L38R1zAIpMa63igNo4HXNJGpGjuCca4/dQzdC/nqhs30jT4g6VsmVx+8nRGRZVFU+Ppr+0hCLKtHLf0Ec4ZHV9UZZglTcRE+mJ1I8HuDHEEJRcHURlGCOn6YgLCLmowGo2cDh5GWhCBgweoRqNFxh77KuD1D013DtG22PvwIr7jnXpQ4SifmMiMW/CuUW0Zv4V1b3sW15WuhGVnAsh+wLR0Nlr5xcoSub2AYAUnV5bA6zj2FW2gntgCwnDpO12iRqPVpewZrvQQzJ06gBJKVbIFQVRhaXUV3XUbbJQIloNszQJXM6AYJV7JlbpZe8ka66Wjc4IS/kX5nC5MSvGv+gomrvkw/e5zK5D30ZI9PjkU574dZ4sM5iadpeIFElT6OpaGyjJSSwDIx3DU8JYsMO6iGTxgqpL0smbU6WqvGSb2OVKPjVnybvDnMgcaDZDdvwTAMUkGAiGvXxlxmxIJ/hZI1s/yHW/4DCT2B6gyDB7KXZ9Iy+Nyuzbx7eoxecNY/v9+Y5n9NvotAG0FDZb70BACbSxv52uoMD1YnEaHK5gPL9MIUK4US2ZUWn3G2UrevAqDqD54kEmuUnVGuX9yLkB6HN0d5+4+H25jKtOht/ASMRDV6PXuV2onbGTn5SuxOtF4mWOLTeY3ZsRFkYJGlTt8ysdRHaYsG1YTOWG8Zx0gBLrbl43kWt/lb6fh19MYaiCh1MoQkggJ1Z4WTnX1kp6YY/nf/jvQrXnGRzkRMzMUjFvwYMvo4oz+vkw6jwdJr0gk0RcFTIv98IAUL6Y18I3cdCJVJtcCJTJRd88Ydu9jbGGbWG8HTU2w+9CS79rUREj71qrdynZliKTmOEeosDPbnJha4Sg+xPIfJlcfZvW4Xn37Vu/HsFLn8Ap31n2GxGhVxca0KRmuCzNSDSG0UIUNsr8YtjuTozBCeZ5GnyooVYoiDzJlLrNoKUw0XRzeQQNru4TopxsICHb+B5vSxpIEUKqrqY/lZHq99BYBUvkj+Xe9k/L/9wUU9BzExF4NY8GMojZcRoaA8Vj5veWhForvaT1IqRaGOhhuy0SwQDIp8b5jZhGaaDE1OIQ0D26my89BX2LXvCb6xYYZ3ajYnswYb+pPMag544CROMpZss2St8rLDs7zs4fvZv247H9n1Mvrb2nidAh+qJXFci75VwdAlIzf9FXLkEPmwTrq6gXed3ECtOAItjTw1FqwAQznE/XYXRxWM14v0dY3QSmIYfRQ3RUWtEUgfS0kyNpiHoGkeXs9mqRc9UaRLQxer22NiLjqx4MdgFiNhT5SeEoaYjdIbLPXT7BgZxLb7sCEd3RgSgcXQ8AQTW3cwueNqzHzkAso3DjO1vERfU/jA5gInMypXdzexlO6gVcC1FpHuMIdy+7FDlZ2VWd76yFfIihr/Q/s3PHD4VaRqNxO2h+kmllAUaNSHaFgWZTGP009ytPkepJnBqtjkqFEzNSRLfE2N2rbDy0R5/Qs2iUSTZLfIgrmKsAJSaorJwiIAquqxVvfPHnJcszbmMiYW/BjUQby5+pSZpTIzzqlOloPNErfOTIIXMqVobChEoZcjfg7TyvO2f/+b3PWDP0pmKkWgRH76emEIPZR8dtykmlC4vX4TbVuiVgRuYg2tP4Kr9agIgWuZ7HS/zk/of0woVE4ak1yzvJOWm8VNLmEj6J7MMmuMMCqWqCnLtLUoKke0y+So0tMs9ogdHFMiC33SL6AqAcM7llAUn+L8q1nUK6Sv6rI5s4tkcZ50ehXT7BCuuIgwKgWZGTr/KScm5nIiFvwYtIHgK08RfCub56Onrmaum2N8pMy7Oiq/uGmUjeV1CCkok0DTzn4nvW6Yem4TlcJV6ImQjCt59aIHqgLuEEPhNNqKIEg0UaTGm+svY7c/wnBljpmr9lCqVhBSUk1mUZUuJ40kqtkiKwSJ4wF1Pc8wi3T6JvnkbkSo0eYG8oNi5/da1+PYUcTPaF9QzrqMTh/jcHMnpdYm1sxV7EmFyeQWuq7HVTvvYcPGB0j1O8hBsrhUrnARejwm5oUhFvyYZ7Tw7XT0XlE17HSGP3rLNdy1cYhMssTr29dzs5pGVc/WgDXXT3Nk3fdzbN33MeIv0tYFQ47ECjzmQ4+XdW+DqgAt5MDQV3lT9aW03DF2FO5HT3tUvz7KRDekkSziGRXmtRKKEiCMJn4qync/zDLrutupaTohKdJB7kx6hWPGJJoNuh+i9X0yV+9GiJBHmt8HQMdaQe1Gx1Q5uBFN85FSozSpohkmCIGinl8uMibmciIW/BjsnTvJvuUtJG688fzlmShjZjKfP6/Mn67leNW2r7J506HzlpsbN7D+5GdZd+LTjIoFHFVwOKUw2q/yWSXkusb1eI1o/S+Vv0AyTPBjiQW8OxxW95RQK2U2t0JWk1l83SXoRvv37ArtUjSeUGaJDZ3raIokmr7CUFilMEiv0DYTZBIeOafHAWUFZfJhlhc3ct3xerSdxDKZWuSOqi+vp1KZpNPOU7x9C+V1G0hk4mRpMZc331ofL+aKQ0kmGfvd3/mW5XY6EtxU/nw3h6ZnQYBu5M5fPjzBSOsREBqjIiqpuDersrNToS+K/KKU/NeGCfisWsscyT7GDVv/H0FXcPSBTdyS3c7mVsi9IyauqpFqRzltPLtCLRkNppblEou+Byq8orsRzfJx+h4Y4OgCaWmkvR7B5ruRUuAdv4P8ICKH5Arp4zcR9hsomQT7990FUrDrHdu44Y3vQwbBBezVmJgXH8/JwhdCvEMIsVcIEQohdn2b9V4rhDgohDgihPjl57LPmIvHacFPPsWvrQ/89rqWOf8LVobkiENqtEt5kHWzowuGwipZBEuEeG0FGUJeC6lu/zu87ClK99/F60fexpbsjRTWotKKXcMmsxYJsGdVOJIYxQ7rpByTo/4CydBjUm5kzJgi23bQpIdqSdpWArPXJjP1EEvLG5hw1nNzfztNtU3K6mD3iwT9BqUNIyiBiRIa5Ic2oOk6elzSMOYy57m6dPYAbwXue6YVhBAq8CfA64DtwHuEENuf435jLgJnLPzCUwRfzwGgDf6fwcwwfmudsZtrlNNnvzOsOtyFzuZ0B1/zoSG4yg7IpNZQF64lL36EtJbk68ufpDkfxcO3bQu/q9AOLPqJZQ4nhinLCoZTZE3rk3EWaCr3RjvoCHJhnQUtTc8wyfk1FNWn1SrRCFcxpM6iXqGkSlL+OH2nQbkwghJYiFAnlYlj72OuDJ6T4Esp90spD36H1W4Cjkgpj0kpXeAfgDc9l/3GXBxO+7SfauErioUQxhlL/wzWWYt/qDR15vVE2ualKLw0VcO1FdQVwbghIVQ4+mQR5+BneET8LXPdg7D2WfJeg4VkClQVp5ugm1hm0cowLlfw+klCVUHtNQn0f+YDxkkafYccVRYHdXAnevMA9BsW3xCP0RN9Zs1l8mik9RHqnSXSvZBke5pkexrDij2bMVcGF2PQdhyYPef93GBZzIucZL7ALW97D1tuu+O85UIICvlbyGavO/8LegJEFOVSGNqAKiOXzMaR9dS0FiVXw7V1jOVo4NZcupZJ85u4+z9JORNN2lrKTrG5MctCqgiBj2xb9Kw6ddNkVCyw1gPCAL/WISU6bAky9HWTvFKjmY6ijbbU9gPgrkg0xeDnZ36fvxn6BIVOtA+lcwJruYPh5snqo+cNPMfEXM58R8EXQtwjhNjzNH8X3EoXQvyEEGK3EGL36urqhd58zPeIEILb3/kvyI+Mfctn1177ASYmfvCpXzhj5SvD2yj5UWWsnVO7qGl1iq6Ba1mkv6AQfP2VDM29lly7ixSSlDGDVFSytCmsrlIpDGO70PeyrJoWUgiGlTlqvkHo9ui4KnbQZXOYQkchN4jFByhac3i9JNrCMutkiZPWIphN7HYKGQaYb3sVRsvFMBRMO7buY64cvqPgSylfKaW86mn+/vG73Mc8MHnO+4nBsqfb159LKXdJKXcNDcV+1UsSMxNZ+cWNlMMudtCnnCrR1BuUXJuenURfE1QOhCSbGzBOCPwRSdofJ9R0cn3QV9bwNZ11yY30nTTfUG8DYB3H6LtJNK0HCFxHkgtVJhz3TCw+MiRdXKPZzyKkZMb2UUOFITVEyHEQCuun7kQIQWkiRSJjvHB9FRNzkbkYLp2HgE1CiHVCCAN4N3D3RdhvzAuBlYHCetBMRhMJZlQXIQSLiQXWOyOoRvQE0Equ4iAwTqh40xKzX0KoCjgr5JejPDdurk2jn+azfB93to8zxjydns1052S0DVdDEz4Tnc4ZCz/TbmKUHFacaHxBHTnBe5bu5NaMhxlMIISg/eAi+kiCl79vBy/7oa0vQCfFxLwwPNewzLcIIeaAW4FPCyE+N1g+JoT4DICU0gd+BvgcsB/4iJRy73NrdsyLlqveBjf8CAC/eeOt/OlgMtcjE7s5ZS6wxc0BUMgU2afMIroStVBA1F10IRGhT6Gxhh56HM8u83DhalwM3ux/FIClsEDbSSAEVJwkKnVkq3rGwh9qrKGaIX5FECoKyvAx3t6/k6sTAWYvqucbtjysLQWyQzb5kbiqVcyVw3NyYEopPwF84mmWLwCvP+f9Z4DPPJd9xVwivOTnz7ycsc8WUPmBG3+WU4WTXPPRKDmZ9Ossuw+yCSh230tHWcP0fLqAYpbY2Fngy4WrOWTPcCdfZij1EGGosGoOU0h0yLaPUXGSbGk+SUsXZwS/6K4BYJ9o0zFLkFyjXzwMgNY/G21kbYlz5sRcecSpFWIuCi+d+T7e/Yqf5ol16wBw/Sbh2iOgaJDZyjEzJNl2AMi4Q6xvNtib2oQUCm90P4mihjh9m+FuhyCVRdEVKv0k3uJnqAUJ0m4DAMuIBvuduoGqRNE3jfGvAmAYIygpHWGpGNOZpzYxJuayJxb8mIvK7us2A7Agqwwt1yA3iVA09uSTbDs+x1ivy+b2fgq1KF3xXcdmSfSiG0HbTbNtaR8AqbZLJzAQyjKrTgq71+PW3ifYbBxAehpeRyNEQ3MK9PJRda7UyAzWlgLJXSMINQ7FjLnyiAU/5qJiDkI8236fdcuSpbEZAB4ZTpNyPK49tIjtn2Ro1ubqpRXuevAkbSf6TssbJXnLcbYsHkTzoklWS+UkK/0UdDXe4n6Ka+UyemcYEKAKkpUop4/iJbGnyxTesZnc962/6McdE/NiIBb8mItKPpUiUGDLrMTy4N5tW/mSFbJ74mzhkTU5wrUPf4k3fUVjXft+RDMSfKMxwlB5icRChXopmgbSEzpV14aeQV7YpJI19M4Y5fRWXpKqk1iLBF/vF2I3TswVTzzrJOaiMmTq9E3YcSpy2Xzmqs18oK8SJJJ0bZtEr4eb0pg5fh/J7iLGuv2stN4GgNrII5SQubINIomh+BxvFwCB7CQwJ6uouoOcvYVXTt5GylthbS1K26S5BfThOCIn5somtvBjLipDhoZrCkwf+pbGwtAwYc7ADD1amTQAQR4UGVKoHUSYGtKPJkf53QIyFJzKmwghyOguFScS8aCTQdUjX3/QLCEdAzfchpkskVt6Gbnw9thvH3PFE1v4MReVIUOna2qAx/zYJAiBTOsMqQ6dggXLEI75SEVDhD5+MovXzbHy+NvoLm+nWR9jOZ1gqg1p4VIhgal4eL2z1rvSSROGWRyuwprJsnXL76DlzWduVEzMFUJs4cdcVIYMDV3NAfDIuqujhUIwYxv0h3VCIQiHPbziBACel0NPNKkefC0y1GlWN+CYkbhnw6hAypDWxXGipG0yFFhuVEg9JIcxnSF5XRlzJq5mFRMTC37MRaVkaMzbUZTM3k2bMWTkhtmQKVC91uaeV70SN2XRK0QlDfthAT0xyJMjAtzGBiw/Evy8E5U2LCpd/DBa5rbzJJP9M/uLB2pjYs4SC37MRSWpqqwWI1+9e/VVlJRowlTOO0QyW6NezOIq01RGp9Gn76BmDqMlotmzeqJK2JzG9BMge+TrbcbsBpNhA6uwEQCnWSBdjG4iQvTR49QJMTFniAU/5qLzjZfdyYde/UZmxkYoayEA4erfkSvVuPGmT5BI76BpaFjX/RANqWJmKgCY2Tlkcziy8HUP0YX3zDxB3u8xtfOlADj1NIXJyL1jWHMIJR6ojYk5TSz4MRed6tXX8Odv+QF2pGwmk1HRkpvW/RAN7UdRdYexkauZlYs8Xv0yq2qb9HCf9a/7VZIjewkdjWJnHCWl4PcjYXc8nbEN25i7//vpLb+DxNgItvJ1EvnvVIwtJubKIhb8mIvOkBENqm5P2sxkolIJ14y9jNt2/jCP9v6U67dei6fCgcaDBIZJMjGOkV7BLqwAUOiNoudMHD9BZW+K1UqBZNakPfdG8qXNkJuiaPwuyfLsM7YhJuZKJA7LjLnoDBnRZbc9ZZHVVXwpGTI0RCnNL7/xVQBY5VG8TpPkyBiJpEmjCYVxg5MCpITR4jByYoLVJ12c8SzJbBR2WRhLQn4wUGukXpDji4l5sRILfsxF583lPFlNJadr5HSNHRu/tcTx8OQUR12P9VPTWGb0RJDJzJAbTlBb6pJOJ1DXr4cjxyCdxkxqXPeqKTbdOAzZQRUrIx6wjYk5l9ilE3PRuS2f4lc3fGud3HMpl6PcOuPj45hmlCgtkdxAaTKK8DGTGsbWqFqVkssihOC2t21kaCoNmgk3/xRsef3Tbzwm5goltvBjXpQMDw8DA8G3PACSiY2UJlMcfmgZK6GTuPYaXEAtPU3949f93kVsbUzMpUEs+DEvSnbs2IEQgunpaaQcZcP6f0ux+FKcyQ4AVlIju+0q7lk3yrUvf+kL29iYmEsEIaV8odvwtOzatUvu3r37hW5GzIuMwAt58O5jXPeaKeyUwdLRw5SmZtB0/YVuWkzMiwIhxMNSyl1P91ls4cdcUqi6wm1v23jm/ciGTS9ga2JiLi3iQduYmJiYK4RY8GNiYmKuEGLBj4mJiblCiAU/JiYm5gohFvyYmJiYK4RY8GNiYmKuEGLBj4mJiblCiAU/JiYm5grhRTvTVgixCpx8DpsoAZUL1JwLSdyu7424Xd8bcbu+Ny7Hdk1LKZ8mwdSLWPCfK0KI3c80vfiFJG7X90bcru+NuF3fG1dau2KXTkxMTMwVQiz4MTExMVcIl7Pg//kL3YBnIG7X90bcru+NuF3fG1dUuy5bH35MTExMzPlczhZ+TExMTMw5xIIfExMTc4VwSQu+EOIdQoi9QohQCPGMIUxCiNcKIQ4KIY4IIX75nOXrhBAPDpZ/WAhhXKB2FYQQXxBCHB78zz/NOi8TQjx2zl9fCPHmwWd/LYQ4fs5n116sdg3WC87Z993nLH8h++taIcQ3Buf7CSHEu8757IL11zNdK+d8bg6O/cigL2bO+exXBssPCiFe82zb8Czb9QtCiH2DvrlXCDF9zmdPez4vYtt+RAixek4bfuycz947OO+HhRDvvYht+sNz2nNICFE/57Pnrb+EEH8lhFgRQux5hs+FEOJ/DNr9hBDi+nM+e+59JaW8ZP+AbcAW4MvArmdYRwWOAusBA3gc2D747CPAuwev/zfwUxeoXf8V+OXB618G/st3WL8AVIHE4P1fA29/Hvrru2oX0H6G5S9YfwGbgU2D12PAIpC7kP317a6Vc9b5V8D/Hrx+N/Dhwevtg/VNYN1gO+oF6p/vpl0vO+f6+anT7fp25/Mitu1HgD9+mu8WgGOD//nB6/zFaNNT1v/XwF9dpP66E7ge2PMMn78e+CwggFuABy9kX13SFr6Ucr+U8uB3WO0m4IiU8piU0gX+AXiTEEIALwc+Nljvb4A3X6CmvWmwve92u28HPiul7F6g/T8T32u7zvBC95eU8pCU8vDg9QKwAjztbMLnwNNeK9+mrR8DXjHomzcB/yCldKSUx4Ejg+1dlHZJKb90zvXzADBxgfb9nNv2bXgN8AUpZVVKWQO+ALz2BWjTe4APXYD9fkeklPcRGXfPxJuAv5URDwA5IcQoF6ivLmnB/y4ZB2bPeT83WFYE6lJK/ynLLwTDUsrFweslYPg7rP9uvvWC++3BI90fCiHMi9wuSwixWwjxwGk3Ey+i/hJC3ERkuR09Z/GF6K9nulaedp1BXzSI+ua7+e6z5Xvd9vuJrMTTPN35vFB8t2172+D8fEwIMfk9fvf5ahMD19c64IvnLH4+++s78UxtvyB99aIvYi6EuAcYeZqPflVK+Y8Xuz2n+XbtOveNlFIKIZ4x9nVw994JfO6cxb9CJHwGUTzuvwN+8yK2a1pKOS+EWA98UQjxJJGwPWsucH/9HfBeKWU4WPys++tyQwjxg8Au4K5zFn/L+ZRSHn36LTwv/BPwISmlI4T4l0RPSC+/iPv/drwb+JiUMjhn2QvdX88bL3rBl1K+8jluYh6YPOf9xGDZGtHjkjaw1E4vf87tEkIsCyFGpZSLA4Fa+TabeifwCSmld862T1u7jhDiA8AvXsx2SSnnB/+PCSG+DFwHfJwXuL+EEBng00Q3+wfO2faz7q+n8EzXytOtMyeE0IAs0bX03Xz32fJdbVsI8UqiG+hdUkrn9PJnOJ8XSsC+Y9uklGvnvP0/RGM2p7/70qd898sXo03n8G7gp89d8Dz313fimdp+QfrqSnDpPARsElGEiUF0gu+W0UjIl4j85wDvBS7UE8Pdg+19N9v9Fv/hQPRO+83fDDztiP7z0S4hRP60S0QIUQJuB/a90P01OHefIPJvfuwpn12o/nraa+XbtPXtwBcHfXM38G4RRfGsAzYB33yW7fie2yWEuA74M+D7pZQr5yx/2vN5gdr13bZt9Jy33w/sH7z+HPDqQRvzwKs5/0n3eWvToF1biQZAv3HOsue7v74TdwM/PIjWuQVoDAyaC9NXz9do9MX4A95C5MtygGXgc4PlY8Bnzlnv9cAhorv0r56zfD3Rj/II8FHAvEDtKgL3AoeBe4DCYPku4P+cs94M0Z1becr3vwg8SSRcHwRSF6tdwG2DfT8++P/+F0N/AT8IeMBj5/xde6H76+muFSL30PcPXluDYz8y6Iv153z3VwffOwi87gJf69+pXfcMfgOn++bu73Q+L2LbfhfYO2jDl4Ct53z3Rwd9eQR438Vq0+D9bwC/95TvPa/9RWTcLQ6u5Tmi8ZafBH5y8LkA/mTQ7ic5J/rwQvRVnFohJiYm5grhSnDpxMTExMQQC35MTEzMFUMs+DExMTFXCLHgx8TExFwhxIIfExMTc4UQC35MTEzMFUIs+DExMTFXCP8/qoM+gscTN6UAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the first 100 realizations of the posterior samples\n",
    "for i in range(100):\n",
    "    plt.plot(x_test[:, 0], u_pred[i, :])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8bc7444",
   "metadata": {},
   "source": [
    "#### Observations\n",
    "\n",
    "If you look closely, the predicted uncertainty is not smooth. Each posterior function sample is very nonsmooth; almost discontinuous."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3d681d86",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "1. Neither implementation is wrong!\n",
    "\n",
    "2. The training procedure is very similar, if not the same. The differences lie in the inferences and the interpretations.\n",
    "\n",
    "3. Non-smoothness appears in section 2's results. That is because conventionally, in the inference stage, dropout is performed for pointwise estimate, instead of function-wise one. To be specific, the uncertainty is obtained by generating many realizations of the neural network (which is done by dropping neurons), and this is done, conventionally, for each input $x$. For different inputs, those realizations of the neural network are not consistent. For example, if we estimate the outputs of two inputs, $x_1$, $x_2$, and we use 1000 posterior samples to estimate the uncertainty for each input, then, conventionally, we actually generate 2000 realizations of the neural network. This causes no trouble for pointwise estimate, e.g. in computer vision, natural language processing, when $x_1$ and $x_2$ are uncorrelated. However, in scientific machine learning, to obtain posterior samples of the function, we wish to have consistent realizations of the neural network for different inputs: the ones used to estimate uncertainty of $x_1$'s output should be the same as the ones for $x_2$. In this way, one realization of the neural network corresponds to one predicted function, and posterior samples of function are obtained.\n",
    "\n",
    "4. In conclusion, posterior samples in section 2 are, in fact, posterior samples for the function value at each input. They are not posterior samples of the function, and hence cannot be connected when plotting each realization."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7a95f55b",
   "metadata": {},
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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}
